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Wihler, Thomas P. (2023). A GENERALIZED SASSENFELD CRITERION AND ITS RELATION TO H-MATRICES. Electronic transactions on numerical analysis, 58, pp. 621-628. Kent State University and Johann Radon Institute (RICAM) 10.1553/etna_vol58s621
Amrein, Mario; Heid, Pascal; Wihler, Thomas P. (2023). A Numerical Energy Reduction Approach for Semilinear Diffusion-Reaction Boundary Value Problems Based on Steady-State Iterations. Siam journal on numerical analysis, 61(2), pp. 755-783. Society for Industrial and Applied Mathematics 10.1137/22M1478586
Heid, Pascal; Wihler, Thomas P. (2022). A modified Kačanov iteration scheme with application to quasilinear diffusion models. ESAIM: Mathematical modelling and numerical analysis (ESAIM: M2AN), 56(2), pp. 433-450. EDP Sciences 10.1051/m2an/2022008
Metcalfe, Stephen; Wihler, Thomas P. (2022). Conditional a posteriori error bounds for high order discontinuous Galerkin time stepping approximations of semilinear heat models with blow-up. SIAM Journal on Scientific Computing, 44(3), A1337-A1357. Society for Industrial and Applied Mathematics 10.1137/21M1418964
Heid, Pascal; Stamm, Benjamin; Wihler, Thomas P. (2021). Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation. Journal of computational physics, 436, p. 110165. Elsevier 10.1016/j.jcp.2021.110165
Heid, Pascal; Wihler, Thomas P. (2021). Adaptive local minimax Galerkin methods for variational problems. SIAM Journal on Scientific Computing, 43(2), A1108-A1133. Society for Industrial and Applied Mathematics 10.1137/20M1319863
Heid, Pascal; Praetorius, Dirk; Wihler, Thomas P. (2021). Energy contraction and optimal convergence of adaptive iterative linearized finite element methods. Computational methods in applied mathematics, 21(2), pp. 407-422. De Gruyter 10.1515/cmam-2021-0025
Georgoulis, Emmanuil H.; Lakkis, Omar; Wihler, Thomas P. (2021). A posteriori error bounds for fully-discrete hp-discontinuous Galerkin timestepping methods for parabolic problems. Numerische Mathematik, 148(2), pp. 363-386. Springer-Verlag 10.1007/s00211-021-01187-7
Wihler, Thomas P.; Wirz, Marcel (2020). Stability and Convergence of Spectral Mixed Discontinuous Galerkin Methods for 3D Linear Elasticity on Anisotropic Geometric Meshes. Journal of scientific computing, 82(2) Springer 10.1007/s10915-020-01153-9
Heid, Pascal; Wihler, Thomas P. (2020). On the convergence of adaptive iterative linearized Galerkin methods. Calcolo, 57(3) Springer 10.1007/s10092-020-00368-4
Heid, Pascal; Wihler, Thomas P. (2020). Adaptive iterative linearization Galerkin methods for nonlinear problems. Mathematics of computation, 89(326), pp. 2707-2734. American Mathematical Society 10.1090/mcom/3545
Congreve, Scott; Houston, Paul; Wihler, Thomas P. (2013). Two-Grid hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic PDEs. Journal of scientific computing, 55(2), pp. 471-497. New York, N.Y.: Plenum Press 10.1007/s10915-012-9644-1
Houston, Paul; Wihler, Thomas P. (2012). Second-Order Elliptic PDE with Discontinuous Boundary Data. IMA journal of numerical analysis, 32(1), pp. 48-74. Oxford: Oxford University Press 10.1093/imanum/drq032
Wihler, Thomas P.; Wirz, Marcel (2012). Mixed hp-Discontinuous Galerkin Fem for linear elasticity and Stokes flow in three dimensions. Mathematical models & methods in applied sciences, 22(08), p. 1250016. Singapore: World Scientific 10.1142/S0218202512500169
Schneebeli, Hans Rudolf; Wihler, Thomas P. (2011). The Newton-Raphson method and adaptive ODE solvers. Fractals, 19(1), pp. 87-99. Singapore: World Scientific 10.1142/s0218348x11005191
Bridgeman, Leila J.; Wihler, Thomas P. (2011). Stability and a posteriori error analysis of discontinuous Galerkin methods for linearized elasticity. Computer methods in applied mechanics and engineering, 200(13-16), pp. 1543-1557. Amsterdam: Elsevier 10.1016/j.cma.2010.10.007
Wihler, Thomas P. (2011). An hp-adaptive strategy based on continuous Sobolev embeddings. Journal of computational and applied mathematics, 235(8), pp. 2731-2739. Antwerp: North-Holland 10.1016/j.cam.2010.11.023
Wihler, Thomas P.; Rivière, Béatrice (2011). Discountinuous Galerkin methods for second-order elliptic PDE with low-regularity solutions. Journal of scientific computing, 46(2), pp. 151-165. New York, N.Y.: Springer US; http://www.springer-ny.com 10.1007/s10915-010-9387-9
Schötzau, Dominik; Wihler, Thomas P. (2010). A posteriori error estimation for hp-version time-stepping methods for parabolic partial differential equations. Numerische Mathematik, 115(3), pp. 475-509. Berlin: Springer-Verlag 10.1007/s00211-009-0285-8
Stamm, Benjamin; Wihler, Thomas P. (2010). hp-optimal discontinuous Galerkin methods for linear elliptic problems. Mathematics of computation, 79(272), pp. 2117-2133. Providence, R.I.: American Mathematical Society 10.1090/S0025-5718-10-02335-5
Wihler, Thomas P. (2009). On the Hölder Continuity of Matrix Functions for Normal Matrices. Journal of inequalities in pure and applied mathematics JIPAM, 10(4) Melbourne: Victoria Univ. of Technology
Houston, Paul; Wihler, Thomas P. (2017). An adaptive variable order quadrature strategy. In: Bittencourt, Marco L.; Dumont, Ney A.; Hesthaven, Jan S. (eds.) Spectral and high order methods for partial differential equations. Lecture Notes in Computational Science and Engineering: Vol. 119 (pp. 533-545). Cham: Springer 10.1007/978-3-319-65870-4_38
Houston, Paul; Wihler, Thomas P. (2009). Second-order elliptic PDE with discontinuous boundary data University of Nottingham
Wihler, Thomas P. (2011). An hp-Adaptive FEM Procedure based on Continuous Sobolev Embeddings. In: Proceedings in Applied Mathematics and Mechanics, 82nd Annual GAMM Scientific Conference, Graz, Austria, 2011, PAMM, Vol. 11, No. 1.
