| Publication | Date of Publication | Type |
|---|
| Design and performance of a space-time virtual element method for the heat equation on prismatic meshes | 2024-03-21 | Paper |
| Space-Time Virtual Elements for the Heat Equation | 2024-01-25 | Paper |
| On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation | 2023-09-21 | Paper |
| An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization | 2023-07-20 | Paper |
| Exponential convergence of hp-time-stepping in space-time discretizations of parabolic PDES | 2023-05-25 | Paper |
| Geometry-based approximation of waves in complex domains | 2023-01-31 | Paper |
| The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation | 2022-12-14 | Paper |
| Mortar coupling of \(hp\)-discontinuous Galerkin and boundary element methods for the Helmholtz equation | 2022-06-24 | Paper |
| Space–time discontinuous Galerkin approximation of acoustic waves with point singularities | 2022-05-17 | Paper |
| A p-robust polygonal discontinuous Galerkin method with minus one stabilization | 2022-01-31 | Paper |
| A Polynomial-Degree-Robust A Posteriori Error Estimator for Nédélec Discretizations of Magnetostatic Problems | 2021-08-20 | Paper |
| An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients | 2021-03-03 | Paper |
| FEM-BEM mortar coupling for the Helmholtz problem in three dimensions | 2020-12-08 | Paper |
| A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation | 2020-09-25 | Paper |
| Tent pitching and Trefftz-DG method for the acoustic wave equation | 2020-08-17 | Paper |
| An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems | 2020-06-16 | Paper |
| Least-squares Padé approximation of parametric and stochastic Helmholtz maps | 2020-05-11 | Paper |
| A nonconforming Trefftz virtual element method for the Helmholtz problem: numerical aspects | 2020-04-16 | Paper |
| FEM-BEM mortar coupling for the Helmholtz problem in three dimensions | 2020-04-07 | Paper |
| Space-time discontinuous Galerkin approximation of acoustic waves with point singularities | 2020-02-26 | Paper |
| Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure | 2020-02-18 | Paper |
| A nonconforming Trefftz virtual element method for the Helmholtz problem | 2019-12-03 | Paper |
| Numerical investigation of the conditioning for plane wave discontinuous Galerkin methods | 2019-11-26 | Paper |
| A numerical study of the dispersion and dissipation properties of virtual element methods for the Helmholtz problem | 2019-06-24 | Paper |
| Adaptive refinement for \(hp\)-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem | 2019-05-16 | Paper |
| Robust Adaptive $hp$ Discontinuous Galerkin Finite Element Methods for the Helmholtz Equation | 2019-04-25 | Paper |
| Convergence analysis of Padé approximations for Helmholtz frequency response problems | 2019-01-25 | Paper |
| Non-conforming harmonic virtual element method: \(h\)- and \(p\)-versions | 2018-12-20 | Paper |
| A priorierror analysis of space–time Trefftz discontinuous Galerkin methods for wave problems | 2018-09-26 | Paper |
| Peter Monk's contributions to numerical analysis and Maxwell's equations | 2018-09-11 | Paper |
| A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation | 2018-02-13 | Paper |
| Erratum to: A Survey of Trefftz Methods for the Helmholtz Equation | 2017-02-10 | Paper |
| A Survey of Trefftz Methods for the Helmholtz Equation | 2017-02-10 | Paper |
| Plane wave discontinuous Galerkin methods: exponential convergence of the \(hp\)-version | 2016-06-29 | Paper |
| A plane wave virtual element method for the Helmholtz problem | 2016-06-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3457556 | 2015-12-15 | Paper |
| Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods | 2015-07-28 | Paper |
| Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftzhp-dGFEM | 2014-06-10 | Paper |
| Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes | 2014-04-29 | Paper |
| Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations | 2013-03-20 | Paper |
| Vekua theory for the Helmholtz operator | 2013-02-04 | Paper |
| Plane wave approximation of homogeneous Helmholtz solutions | 2013-02-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2897717 | 2012-07-16 | Paper |
| STABILITY RESULTS FOR THE TIME-HARMONIC MAXWELL EQUATIONS WITH IMPEDANCE BOUNDARY CONDITIONS | 2012-05-10 | Paper |
| Discontinuous Galerkin Approximation of Relaxation Models for Linear and Nonlinear Diffusion Equations | 2012-05-07 | Paper |
| A LAGRANGE MULTIPLIER METHOD FOR ELLIPTIC INTERFACE PROBLEMS USING NON-MATCHING MESHES | 2012-01-01 | Paper |
| Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version | 2011-09-14 | Paper |
| The mortar-discontinuous Galerkin method for the 2D Maxwell eigenproblem | 2011-01-16 | Paper |
| Mixed Plane Wave Discontinuous Galerkin Methods | 2010-02-05 | Paper |
| Plane wave discontinuous Galerkin methods: Analysis of theh-version | 2009-04-16 | Paper |
| Discontinuous Galerkin Approximation of the Maxwell Eigenproblem | 2007-10-22 | Paper |
| Discontinuous Galerkin approximation of the Laplace eigenproblem | 2007-09-20 | Paper |
| Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes | 2007-06-04 | Paper |
| An a posteriori error indicator for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations | 2007-01-31 | Paper |
| Mixed discontinuous Galerkin approximation of the Maxwell operator: The indefinite case | 2005-10-12 | Paper |
| Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation | 2005-06-13 | Paper |
| Interior penalty method for the indefinite time-harmonic Maxwell equations | 2005-06-13 | Paper |
| Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator | 2005-05-12 | Paper |
| A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes | 2005-04-14 | Paper |
| Mixed Discontinuous Galerkin Approximation of the Maxwell Operator | 2005-03-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4823249 | 2004-10-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4823271 | 2004-10-27 | Paper |
| Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations | 2004-09-07 | Paper |
| hp-DGFEM for Maxwell’s equations | 2004-05-18 | Paper |
| A mixed formulation for 3D magnetostatic problems: Theoretical analysis and face-edge finite element approximation | 2004-03-14 | Paper |
| The $hp$-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations | 2003-05-14 | Paper |
| Stabilized interior penalty methods for the time-harmonic Maxwell equations. | 2003-04-02 | Paper |
| Local discontinuous Galerkin methods for elliptic problems | 2002-10-10 | Paper |
| An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems | 2002-08-20 | Paper |
| On the coupling of local discontinuous Galerkin and conforming finite element methods | 2002-04-11 | Paper |
| An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems | 2001-03-19 | Paper |
| Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids | 2001-03-19 | Paper |
| Linear Algebra Methods in a Mixed Approximation of Magnetostatic Problems | 2000-03-20 | Paper |
| Recent experiences on mixed finite elements for 2D simulations of magnetic fields | 1999-08-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4354663 | 1998-02-25 | Paper |
| A Field-Based Mixed Formulation for the Two-Dimensional Magnetostatic Problem | 1998-02-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4354574 | 1997-10-20 | Paper |
| A class of quadrilateral finite elements for the Stokes problem | 1994-01-19 | Paper |