S. CONGREVE and P. HOUSTON, 2022. Two-grid hp-version discontinuous Galerkin finite element methods for quasilinear elliptic PDEs on agglomerated coarse meshes Advances in Computational Mathematics. (In Press.)
P. HOUSTON, C.J. ROURKE and K.G. VAN DER ZEE, 2022. Linearisation of the Travel Time Functional in Porous Media Flows SIAM Journal of Scientific Computing. (In Press.)
P. HOUSTON, S. ROGGENDORF and K.G. VAN DER ZEE, 2022. Gibbs Phenomena For L^q-best Approximation in Finite Element Spaces ESAIM Mathematical Modelling and Numerical Analysis. 56, 177-211 P. HOUSTON and T.P. WIHLER, 2020. In: S.J. SHERWIN, J. PEIRO, P.E. VINCENT and C. SCHWAB, eds., hp-Adaptive Iterative Linearization Discontinuous-Galerkin FEM for Quasilinear Elliptic Boundary Value Problems Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018. Lecture Notes in Computational Science and Engineering. 134. 407-417
P.F. ANTONIETTI, C. FACCIOLA, P. HOUSTON, I. MAZZIERI, G. PENNESI and M. VERANI, 2020. In: M.G. LARSON, T. MARTÍNEZ-SEARA ALONSO, C. PARES, L. PARESCHI, A. TOSIN, E. VAZQUEZ-CENDON, J.P. ZUBELLI and P. ZUNINO, eds., High-Order Discontinuous Galerkin Methods on Polyhedral Grids for Geophysical Applications: Seismic Wave Propagation and Fractured Reservoir Simulations (In Press.)
P.F. ANTONIETTI, P. HOUSTON, G. PENNESI and E. SULI, 2020. An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids Mathematics of Computation. 89, 2047-2083
P. HOUSTON, S. ROGGENDORF and K.G. VAN DER ZEE, 2020. Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation Computers & Mathematics with Applications. 80(5), 851-873
S. CONGREVE and P. HOUSTON, 2019. Two-Grid hp-DGFEMs on Agglomerated Coarse Meshes In: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Vienna 2019. Proceedings in Applied Mathematics and Mechanics. 19. e201900175
S. CONGREVE, P. HOUSTON and I. PERUGIA, 2019. Adaptive Refinement for hp-Version Trefftz Discontinuous Galerkin Methods for the Homogeneous Helmholtz Problem Advances in Computational Mathematics. 45(1), 361-393
P. HOUSTON and T.P. WIHLER, 2018. An hp-Adaptive Newton-Discontinuous-Galerkin Finite Element Approach for Semilinear Elliptic Boundary Value Problems Mathematics of Computation. 87(314), 2641-2674
P. HOUSTON and N. SIME, 2018. Automatic Symbolic Computation for Discontinuous Galerkin Finite Element Methods SIAM Journal on Scientific Computing. 40(3), C327-C357
P.F. ANTONIETTI, P. HOUSTON and G. PENNESI, 2018. Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods Journal of Scientific Computing. 77(3), 1339-1370
R. BROGLIA, K.-S. CHOI, P. HOUSTON, L. PASQUALE and P. ZANCHETTA, 2018. Output feedback control of flow separation over an aerofoil using plasma actuators International Journal of Numerical Analysis and Modeling. 15(6), 864-883
P. HOUSTON and T.P. WIHLER, 2017. An Adaptive Variable Order Quadrature Strategy In: M. Bittencourt, N. Dumont, and J.S. Hesthaven, (editors), Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016, Lecture Notes in Computational Science and Engineering. 119. 533-545
A. CANGIANI, Z. DONG, E.H. GEORGOULIS and P. HOUSTON, 2017. hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes Springer International Publishing.
P. HOUSTON and N. SIME, 2017. Numerical Modelling of MPA-CVD Reactors with the Discontinuous Galerkin Finite Element Method Journal of Physics D: Applied Physics. 50(29), 295202
E. HALL, P. HOUSTON and S. MURPHY, 2017. hp-Adaptive Discontinuous Galerkin Methods for Neutron Transport Criticality Problems SIAM Journal on Scientific Computing. 39(5), B916-B942
P. HOUSTON, 2017. Adjoint Error Estimation and Adaptivity for Hyperbolic Problems. In: R. ABGRALL and C.-W. SHU, eds., Handbook of Numerical Analysis: Handbook of Numerical Methods for Hyperbolic Problems. Applied and Modern Issues 18. Elsevier. 233-261
J. COLLIS and P. HOUSTON, 2016. Adaptive Discontinuous Galerkin Methods on Polytopic Meshes. In: G. VENTURA and E. BENVENUTI, eds., Advances in Discretization Methods: Discontinuities, Virtual Elements, Fictitious Domain Methods Springer International Publishing. 187-206
P. HOUSTON and T.P. WIHLER, 2016. Adaptive Energy Minimisation for hp-Finite Element Methods Computers & Mathematics with Applications. 71(4), 977-990
O. BAIN, J. BILLINGHAM, P. HOUSTON and I. LOWNDES, 2016. Flows of Granular Material in Two-Dimensional Channels Journal of Engineering Mathematics. 98(1), 49-70
P.F. ANTONIETTI, A. CANGIANI, J. COLLIS, Z. DONG, E.H. GEORGOULIS, S. GIANI and P. HOUSTON, 2016. Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains. In: G.R. BARRENECHEA, F. BREZZI, A. CANGIANI and E.H. GEORGOULIS, eds., Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations: Lecture Notes in Computational Science and Engineering Springer International Publishing. 281-310
P.F. ANTONIETTI, P. HOUSTON and I. SMEARS, 2016. A Note on Optimal spectral bounds for nonoverlapping domain decomposition preconditioners for hp-Version Discontinuous Galerkin methods International Journal of Numerical Analysis and Modeling. 13(4), 513–524
A. CANGIANI, Z. DONG, E.H. GEORGOULIS and P. HOUSTON, 2016. hp-Version Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Polytopic Meshes ESAIM: Mathematical Modelling and Numerical Analysis. 50(3), 699-725 K.A. CLIFFE, J. COLLIS and P. HOUSTON, 2015. Goal-Oriented A Posteriori Error Estimation for the Travel Time Functional in Porous Media Flows SIAM Journal on Scientific Computing. 37(2), B127-B152
S. CONGREVE and P. HOUSTON, 2014. Two-Grid hp-Version Discontinuous Galerkin Finite Element Methods for Quasi-Newtonian Fluid Flows International Journal of Numerical Analysis and Modeling. 11(3), 496-524
S. GIANI and P. HOUSTON, 2014. hp-Adaptive Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains Numerical Methods for Partial Differential Equations. 30(4), 1342-1367
P.F. ANTONIETTI, S. GIANI and P. HOUSTON, 2014. Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains Journal of Scientific Computing. 60(1), 203-227
S. GIANI and P. HOUSTON, 2014. Goal-Oriented Adaptive Composite Discontinuous Galerkin Methods for Incompressible Flows Journal of Computational and Applied Mathematics. 270, 32-42
A. CANGIANI, E.H. GEORGOULIS and P. HOUSTON, 2014. hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes Mathematical Models and Methods in Applied Sciences. 24(10), 2009-2041 S. GIANI and P. HOUSTON, 2014. Domain Decomposition Preconditioners for Discontinuous Galerkin Discretizations of Compressible Fluid Flows Numerical Mathematics: Theory, Methods and Applications. 7(2), 123-148
K.A. CLIFFE, E.J.C. HALL and P. HOUSTON, 2014. hp-Adaptive Discontinuous Galerkin Methods for Bifurcation Phenomena in Open Flows Computers & Mathematics with Applications. 67(4), 796-806
ANTONIETTI, P.F. and HOUSTON, P., 2013. Preconditioning high-order Discontinuous Galerkin discretizations of elliptic problems. In: Domain Decomposition Methods in Science and Engineering XX: Lecture Notes in Computational Science and Engineering 91. Springer-Verlag. 231-238
FISCHER, S., HOUSTON, P., MONK, N.A.M. and OWEN, M.R., 2013. Is a Persistent Global Bias Necessary for the Establishment of Planar Cell Polarity? PLOS ONE. 8(4), e60064 S. CONGREVE and P. HOUSTON, 2013. Two–Grid hp–DGFEM for Second Order Quasilinear Elliptic PDEs Based on an Incomplete Newton Iteration In: The Eighth International Conference on Scientific Computing and Applications. Contemporary Mathematics, AMS. 586. 135-142
P.F. ANTONIETTI, S. GIANI and P. HOUSTON, 2013. hp-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains SIAM Journal on Scientific Computing. 35(3), 1417-1439
GIANI, S. and HOUSTON, P., 2012. Anisotropic hp-Adaptive Discontinuous Galerkin Finite Element Methods for Compressible Fluid Flows International Journal of Numerical Analysis and Modeling. 9(4), 928-949
HOUSTON, P. and WIHLER, T.P., 2012. Discontinuous Galerkin Methods for Problems with Dirac Delta Source Mathematical Modelling and Numerical Analysis. 46, 1467-1483
HOUSTON, P. and WIHLER, T.P., 2012. Second-Order Elliptic PDE with Discontinuous Boundary Data IMA Journal of Numerical Analysis. 32(1), 48-74 CLIFFE, K.A., HALL, E.J.C., HOUSTON, P., PHIPPS, E.T. and SALINGER, A.G., 2012. Adaptivity and a posteriori error control for bifurcation problems III: incompressible fluid flow in open systems with O(2) symmetry Journal of Scientific Computing. 52(1), 153-179 CLIFFE, K.A., HALL, E.J.C., HOUSTON, P., PHIPPS, E.T. and SALINGER, A.G., 2011. Adaptivity and a posteriori error control for bifurcation problems II: incompressible fluid flow in open systems with Z2 symmetry Journal of Scientific Computing. 47(3), 389-418 CONGREVE, S., HOUSTON, P. and WIHLER, T.P., 2011. Two-Grid hp-Version DGFEMs for Strongly Monotone Second-Order Quasilinear Elliptic PDEs Proceedings in Applied Mathematics and Mechanics: Special Issue: 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Graz 2011; Editors: G. Brenn, G.A. Holzapfel, M. Schanz and O. Steinbach. 11(1), 3-6
MILNE, A., CLIFFE, K.A., HOLTON, D., HOUSTON, P., JACKSON, C.P. and JOYCE, S., 2011. Conditioning Discrete Fracture Network Models of Groundwater Flow International Journal of Numerical Analysis and Modeling. 8(4), 543-565
SCHAMBERG, S., HOUSTON, P., MONK, N.A.M. and OWEN, M.R., 2010. Modelling and analysis of planar cell polarity Bulletin of Mathematical Biology. 72(3), 645-680 CLIFFE, K.E., HALL, E. and HOUSTON, P., 2010. Adaptive discontinuous Galerkin methods for eigenvalue problems arising in incompressible fluid flows SIAM Journal on Scientific Computing. 31(6), 4607-4632 GIANI, S. and HOUSTON, P., 2010. High-Order hp-Adaptive Discontinuous Galerkin Finite Element Methods for Compressible Fluid Flows. In: N. KROLL, H. BIELER, H. DECONINCK, V. COUALLIER, H. VAN DER VEN AND K. SORENSEN, ed., ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications: Notes on Numerical Fluid Mechanics and Multidisciplinary Design 113. Springer. 399-411
K.A. CLIFFE, A.G.SALINGER., E.J.C. HALL, P. HOUSTON, E.T. PHIPPS and A.G. SALINGER, 2010. Adaptivity and A Posteriori Error Control for Bifurcation Problems I: The Bratu Problem Communications in Computational Physics. 8(4), 845-865 HOUSTON, P., SCHOETZAU, D. and WEI, X., 2009. A mixed DG method for linearized incompressible magnetohydrodynamics Journal of Scientific Computing. 40(1-3), 281-314 GEORGOULIS, E.H. and HOUSTON, P., 2009. Discontinuous Galerkin Methods for the Biharmonic Problem IMA Journal of Numerical Analysis. 29(3), 573-594 HARTMANN, R. and HOUSTON, P., 2009. Error Estimation and Adaptive Mesh Refinement for Aerodynamic flows. In: DECONINCK, H., ed., VKI LS 2010-01: 36th CFD/ADIGMA Course on hp-Adaptive and hp-Multigrid Methods Von Karman Institute for Fluid Dynamics, Rhode Saint Genese, Belgium.
HOUSTON, P, SÜLI, E and AND WIHLER, T.P., 2008. A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems IMA Journal of Numerical Analysis. 28, 245-273
ANTONIETTI, P. and HOUSTON, P., 2008. An hr-Adaptive Discontinuous Galerkin Method for Advection-Diffusion Problems In: Communications to SIMAI Congress 2008.
ANTONIETTI, P. and HOUSTON, P., 2008. A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems International Journal of Numerical Analysis and Modeling. 5(4), 704-728
BUFFA, A, P. HOUSTON, P and AND PERUGIA. I., 2007. Discontinuous Galerkin Computation of the Maxwell Eigenvalues on Simplicial Meshes Journal of Computational and Applied Mathematics. 204(2), 317-333 GEORGOULIS, E.H, HALL, E. and HOUSTON, P., 2007. Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis International Journal of Computing Science and Mathematics. 1(2-3), 221-244
HOUSTON, P., SCHÖTZAU, D. and WIHLER, T.P., 2007. Energy norm a posteriori error estimation of hp-adaptive discontinuous Galerkin methods for elliptic problems Mathematical Models and Methods in Applied Sciences (M3AS). 17(1), 33-62 HOUSTON, P, GEORGOULIS, E.H and AND E. HALL, E., 2006. Adaptivity and A Posteriori Error Estimation For DG Methods on Anisotropic Meshes. In: LUBE, G and AND G. RAPIN, G., eds., Proceedings of the International Conference on Boundary and Interior Layers (BAIL) - Computational and Asymptotic Methods
HARTMANN, R and AND HOUSTON, P., 2006. Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation International Journal of Numerical Analysis and Modeling. 3(1), 1-20
HARTMANN, R and AND HOUSTON, P., 2006. Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal-Oriented A Posteriori Error Estimation International Journal of Numerical Analysis and Modeling. 3(2), 141-162
HOUSTON,P., SCHOETZAU,D. and WIHLER,T., 2006. An hp-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. Computer Methods in Applied Mechanics and Engineering. 195(25-28), 3224-3246
BROWNLEE, R, HOUSTON, P, LEVESLEY, J and AND ROSSWOG, S., 2006. Enhancing SPH using Moving Least-Squares and Radial Basis Functions. In: ISKE, A and AND J. LEVESLEY, J., eds., Algorithms for Approximation Springer-Verlag. 103-112
HOUSTON,P., SCHÖTZAU,D. and WIHLER,T.P., 2005. Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Stokes problem. Journal of scientific computing. 22(1), 357-380
HOUSTON, P. and SULI, E., 2005. A note on the design of hp-adaptive finite element methods for elliptic partial differential equations COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL 194(ISSUE 2-5), 229-243
HOUSTON, P., PERUGIA, I. and SCHÖTZAU, D., 2005. Mixed Discontinuous Galerkin Approximation of the Maxwell Operator: Non-Stabilized Formulation Journal of scientific computing. 22(1), 325-356 HOUSTON, P., PERUGIA, I. and SCHÖTZAU, D., 2005. Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL 194(ISSUE 2-5), 499-510
HOUSTON, P., PERUGIA, I., SCHNEEBELI, A. and SCHÖTZAU, D., 2005. Mixed discontinuous Galerkin approximation of the Maxwell operator: The indefinite case MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS. VOL 39(NUMB 4), 727-754 HOUSTON, P., PERUGIA, I., SCHNEEBELI, A. and SCHÖTZAU, D., 2005. Interior penalty method for the indefinite time-harmonic Maxwell Equations. Numerische Mathematik. 100(3), 485-518 HOUSTON, P., PERUGIA, I. and SCHÖTZAU, D., 2004. Nonconforming Mixed Finite-Element Approximations to Time-Harmonic Eddy Current Problems IEEE Transactions on Magnetics. VOL 40(PART 2), 1268-1273 HOUSTON, P., PERUGIA, I. and SCHOETZAU, D., 2004. A review of discontinuous Galerkin methods for Maxwell's Equations in frequency-domain. In: Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering, Volume II.
HARTMANN, R. and HOUSTON, P., 2004. Adaptive discontinuous Galerkin finite element methods with interior penalty for the compressible Navier-Stokes Equations In: Numerical Mathematics and Advanced Applications, ENUMATH 2003. 410-419
HOUSTON, P., PERUGIA, I. and SCHOETZAU, D., 2004. Discontinuous Galerkin methods for Maxwell's equations. In: Progress in Industrial Mathematics at ECMI 2002..
HOUSTON, P., PERUGIA, I. and SCHOETZAU, D., 2004. Noncomforming mixed finite element approximations to time-harmonic Eddy current problems. In: Proceedings of XIV COMPUMAG Conference on Computation of Electromagnetic Fields.
HOUSTON, P., SCHOETZAU, D. and WIHLER, T.P., 2004. Mixed hp-discontinuous Galerkin finite element methods for the Stokes Problem in Polygons In: Numercial Mathematics and Advanced Applications, ENUMATH 2003. 493-501
HOUSTON,P., PERUGIA,I. and SCHÖTZAU,D., 2004. Recent developments in discontinuous Galerkin methods for the time-harmonic Maxwell's Equations. International Compumag Society Newsletter. 11(2), 10-17
HOUSTON, P., PERUGIA, I., SCHNEEBELI, A. and SCHOETZAU, D., 2004. Discontinuous Galerkin methods for the time-harmonic Maxwell Equations. In: Numercial Mathematics and Advanced Applications, ENUMATH 2003. 483-492
HOUSTON, P., SCHOETZAU, D. and WIHLER, T.P., 2004. hp-Adaptive Discontinuous Galerkin finite element methods for the Stokes Problem. In: Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering, Volume II.
HOUSTON, P., PERUGIA, I. and SCHÖTZAU, D., 2004. Mixed discontinuous Galerkin approximation of the Maxwell operator SIAM Journal on Numerical Analysis. VOL 42(NUMB 1), 434-459 HOUSTON, P., PERUGIA, I. and SCHOETZAU, D., 2003. hp-DGFEM for Maxwell's equations. In: Numerical Mathematics and Advanced Applications, ENUMATH 2001. 785-794
HARTMANN, R. and HOUSTON, P., 2003. Goal-oriented a posteriori error estimation for multiple target functionals. In: Hyperbolic Problems: Theory, Numerics, Applications. 579-588
HOUSTON, P., SENIOR, B. and SULI, E., 2003. Sobolev regularity estimation for hp-adaptive finite element methods. In: Numerical Mathematics and Advanced Applications, EMUMATH 2001. 631-656
HARRIMAN, K., HOUSTON, P., SENIOR, B. and SULI, E., 2003. hp-Version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form. In: Recent advances in scientific computing and partial differential equations. Contemporary Mathematics Vol 330. 89-119
HARTMANN, R. and HOUSTON, P., 2003. Goal-oriented a posteriori error estimation for compressible fluid flows. In: Numerical Mathematics and Advanced Applications, ENUMATH 2001. 775-784
HARTMANN, R. and HOUSTON, P., 2002. Adaptive Discontinuous Galerkin Finite Element Methods for the Compressible Euler Equations Journal of Computational Physics. VOL 183(PART 2), 508-532 SCHNELL, S., MAINI, P. K., MCINERNEY, D., GAVAGHAN, D. J. and HOUSTON, P., 2002. Models for pattern formation in somitogenesis: A marriage of cellular and molecular biology Comptes Rendus Biologies. VOL 325(NUMBER 3), 179-189 HOUSTON, P., SENIOR, B. and SULI, E., 2002. hp-Discontinuous Galerkin finite element methods for hyperbolic problems: Error analysis and adaptivity International Journal for Numerical Methods in Fluids. VOL 40(1-2), 153-169 SÜLI, E and AND HOUSTON, P., 2002. Adaptive Finite Element Approximation of Hyperbolic Problems. In: BARTH, T and AND DECONINCK, H., eds., Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics 25. Springer-Verlag. 269-344
HARTMANN, R. and HOUSTON, P., 2002. Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL 24(PART 3), 979-1004 WARD, M. J., MCINERNEY, D., HOUSTON, P., GAVAGHAN, D. and MAINI, P., 2002. The Dynamics and Pinning of a Spike for a Reaction-Diffusion System SIAM Journal on Applied Mathematics. VOL 62(PART 4), 1297-1328 HOUSTON, P., JENSEN, M. and SULI, E., 2002. hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization Journal of scientific computing. VOL 17(1-4), 3-25 HOUSTON, P., SCHWAB, C. and SULI, E., 2002. Discontinuous hp-finite element methods for advection-diffusion-reaction problems SIAM Journal on Numerical Analysis. 39(6), 2133-2163 HOUSTON, P., SENIOR, B. and SULI, E., 2001. hp-Discontinuous Galerkin finite element methods for hyperbolic problems: Error analysis and adaptivity. In: Numerical Methods for Fluid Dynamics VII. 73-86
HOUSTON, P., HARTMANN, R. and SULI, E., 2001. Adaptive discontinuous Galerkin finite element methods for compressible fluid flows. In: Numerical Methods for Fluid Dynamics VII. 347-353
BREZZI, F., HOUSTON, P., MARINI, D. and SULI, E., 2000. Modeling subgrid viscosity for advection-diffusion problems Computer Methods in Applied Mechanics and Engineering. VOL 190(NUMBER 13-14), 1601-1610 HARRIMAN, K., GAVAGHAN, D. J., HOUSTON, P. and SULI, E., 2000. Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy II. Theory Electrochemistry Communications. VOL 2(NUMBER 3), 157-162 HOUSTON, P., SCHWAB, C. and SULI, E., 2000. Stabilized hp-Finite Element Methods for First-Order Hyperbolic Problems SIAM Journal on Nnumerical Analysis. VOL 37(PART 5), 1618-1643 HARRIMAN,K., GAVAGHAN,D.J., HOUSTON,P., KAY,D. and SULI,E., 2000. Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. ECE and EC_2E mechanisms at channel microband electrodes. Electrochemistry Communications. 2(8), 576-585 SULI, E., SCHWAB, C. and HOUSTON, P., 2000. hp-DGFEM for partial differential equations with nonnegative characteristic form. In: Discontinuous Galerkin Methods. Theory, Computation and Applications.. 221-230
COLLIER, J. R., MCINERNEY, D., SCHNELL, S., MAINI, P. K., GAVAGHAN, D. J., HOUSTON, P. and STERN, C. D., 2000. A Cell Cycle Model for Somitogenesis: Mathematical Formulation and Numerical Simulation Journal of Theoretical Biology. VOL 207(PART 3), 305-316 HOUSTON, P., RANNACHER, R. and SULI, E., 2000. A posteriori error analysis for stabilised finite element approximations of transport problems Computer Methods in Applied Mechanics and Engineering. VOL 190(NUMBER 11-12), 1483-1508 HOUSTON,P., MACKENZIE,J., SULI,E. and WARNECKE,G., 1999. A posteriori error analysis for numerical approximation of Friedrichs systems. Numerische Mathematik. 82(3), 433-470 HOUSTON, P. and SULI, E., 1998. Local mesh design for numerical solution of hyperbolic problems. In: Numerical Methods for Fluid Dynamics VI. 17-30
SULI, E. and HOUSTON, P., 1997. Finite element methods for hyperbolic problems: a posteriori error analysis and adaptivity. In: State of the Art in Numerical Analysis. 441-471