| Publication | Date of Publication | Type |
|---|
| A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers | 2024-01-09 | Paper |
| Scalable DPG multigrid solver for Helmholtz problems: a study on convergence | 2023-10-13 | Paper |
| An Anisotropic $hp$-Adaptation Framework for Ultraweak Discontinuous Petrov-Galerkin Formulations | 2023-09-01 | Paper |
| Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides | 2023-07-10 | Paper |
| Combining DPG in space with DPG time-marching scheme for the transient advection-reaction equation | 2023-01-19 | Paper |
| An \(L^p\)-DPG method with application to 2D convection-diffusion problems | 2022-08-03 | Paper |
| hp3D User Manual | 2022-06-29 | Paper |
| A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems | 2022-05-04 | Paper |
| Equivalence between the DPG method and the exponential integrators for linear parabolic problems | 2022-03-31 | Paper |
| Error representation of the time-marching DPG scheme | 2022-03-11 | Paper |
| Deep neural networks for smooth approximation of physics with higher order and continuity B-spline base functions | 2022-01-03 | Paper |
| A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems | 2021-07-14 | Paper |
| The double adaptivity paradigm. (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi) | 2021-06-23 | Paper |
| A numerical study of the pollution error and DPG adaptivity for long waveguide simulations | 2021-06-23 | Paper |
| An \(L^p\)-DPG method for the convection-diffusion problem | 2021-06-23 | Paper |
| Analysis of non-conforming DPG methods on polyhedral meshes using fractional Sobolev norms | 2021-06-23 | Paper |
| A DPG-based time-marching scheme for linear hyperbolic problems | 2021-04-26 | Paper |
| Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers | 2021-03-24 | Paper |
| An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics | 2021-03-18 | Paper |
| Construction of DPG Fortin operators revisited | 2020-12-08 | Paper |
| An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics | 2020-10-13 | Paper |
| Orientation embedded high order shape functions for the exact sequence elements of all shapes | 2020-10-08 | Paper |
| The DPG-star method | 2020-08-17 | Paper |
| High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations | 2020-04-07 | Paper |
| Using a DPG method to validate DMA experimental calibration of viscoelastic materials | 2020-04-06 | Paper |
| Discrete least-squares finite element methods | 2020-04-06 | Paper |
| The DPG methodology applied to different variational formulations of linear elasticity | 2020-04-03 | Paper |
| A numerical study of the pollution error and DPG adaptivity for long waveguide simulations | 2019-12-11 | Paper |
| Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers | 2019-12-02 | Paper |
| Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods | 2019-09-11 | Paper |
| Fast integration of DPG matrices based on sum factorization for all the energy spaces | 2019-09-11 | Paper |
| Alternative enriched test spaces in the DPG method for singular perturbation problems | 2019-09-11 | Paper |
| Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov--Galerkin Methods | 2019-09-02 | Paper |
| On perfectly matched layers for discontinuous Petrov-Galerkin methods | 2019-05-13 | Paper |
| Construction of DPG Fortin operators for second order problems | 2018-08-29 | Paper |
| An adaptive DPG method for high frequency time-harmonic wave propagation problems | 2018-08-29 | Paper |
| Solution of coupled poroelastic/acoustic/elastic wave propagation problems using automatic \(h p\)-adaptivity | 2018-08-29 | Paper |
| A DPG method for steady viscous compressible flow | 2018-06-19 | Paper |
| Coupled variational formulations of linear elasticity and the DPG methodology | 2018-02-06 | Paper |
| DPG* Method | 2017-10-14 | Paper |
| Applied Functional Analysis, Third Edition | 2017-07-11 | Paper |
| Locally conservative discontinuous Petrov-Galerkin finite elements for fluid problems | 2017-06-02 | Paper |
| MODELING BONE CONDUCTION OF SOUND IN THE HUMAN HEAD: II. SIMULATION RESULTS | 2017-05-09 | Paper |
| Robust DPG Methods for Transient Convection-Diffusion | 2017-02-10 | Paper |
| A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations | 2016-12-05 | Paper |
| A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms | 2016-09-27 | Paper |
| The DPG method for the Stokes problem | 2016-09-27 | Paper |
| A Posteriori Error Control for DPG Methods | 2015-06-09 | Paper |
| Variational formulations for transmission problems of the electromagnetic field | 2015-05-13 | Paper |
| Mixed variable order \(h\)-finite element method for linear elasticity with weakly imposed symmetry. Curvilinear elements in 2D | 2014-03-31 | Paper |
| An Overview of the Discontinuous Petrov Galerkin Method | 2014-01-31 | Paper |
| Robust DPG Method for Convection-Dominated Diffusion Problems | 2014-01-21 | Paper |
| A Unified Discontinuous Petrov--Galerkin Method and Its Analysis for Friedrichs' Systems | 2013-10-24 | Paper |
| Constructively well-posed approximation methods with unity inf–sup and continuity constants for partial differential equations | 2013-08-06 | Paper |
| Numerical simulations of cloaking problems using a DPG method | 2013-07-05 | Paper |
| Parametric finite elements, exact sequences and perfectly matched layers | 2013-01-24 | Paper |
| A locking-free \(hp\) DPG method for linear elasticity with symmetric stresses | 2012-12-20 | Paper |
| Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation | 2012-07-20 | Paper |
| Solution of coupled acoustic-elastic wave propagation problems with anelastic attenuation using automatic \(hp\)-adaptivity | 2012-07-20 | Paper |
| Multiscale modeling using goal-oriented adaptivity and numerical homogenization. I: Mathematical formulation and numerical results | 2012-07-20 | Paper |
| Multiscale modeling using goal-oriented adaptivity and numerical homogenization. II: Algorithms for the Moore-Penrose pseudoinverse | 2012-07-20 | Paper |
| A class of discontinuous Petrov-Galerkin methods. III: Adaptivity | 2012-05-04 | Paper |
| A parallel direct solver for the self-adaptive \(hp\) finite element method | 2012-03-07 | Paper |
| A class of discontinuous Petrov-Galerkin methods. I: The transport equation | 2012-02-08 | Paper |
| Mixed \(hp\)-finite element method for linear elasticity with weakly imposed symmetry | 2012-02-01 | Paper |
| Laudation | 2011-11-30 | Paper |
| Numerical simulation of borehole acoustic logging in the frequency and time domains with \(hp\)-adaptive finite elements | 2011-11-30 | Paper |
| Discontinuous Petrov-Galerkin method with optimal test functions for thin-body problems in solid mechanics | 2011-11-16 | Paper |
| Discrete Compactness for thep-Version of Discrete Differential Forms | 2011-09-14 | Paper |
| Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry: Stability Analysis | 2011-09-14 | Paper |
| A class of discontinuous Petrov-Galerkin methods. IV: The optimal test norm and time-harmonic wave propagation in 1D | 2011-06-17 | Paper |
| A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions | 2011-01-17 | Paper |
| Polynomial Extension Operators. Part II | 2010-11-11 | Paper |
| Polynomial extension operators for $H^1$, $\boldsymbol {\mathit {H}}(\mathbf {curl})$ and $\boldsymbol {\mathit {H}}(\mathbf {div})$-spaces on a cube | 2010-11-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3550813 | 2010-04-06 | Paper |
| Polynomial Extension Operators. Part I | 2010-01-06 | Paper |
| PML Enhanced with a Self-Adaptive Goal-Oriented $hp$-Finite Element Method: Simulation of Through-Casing Borehole Resistivity Measurements | 2009-11-27 | Paper |
| Ivo Babuška - mathematician and engineer | 2009-11-06 | Paper |
| Analysis of the equilibrated residual method for a posteriori error estimation on meshes with hanging nodes | 2009-11-06 | Paper |
| A fully automatic \(hp\)-adaptivity for elliptic PDEs in three dimensions | 2009-11-06 | Paper |
| A self-adaptive goal-oriented \(hp\)-finite element method with electromagnetic applications. II: Electrodynamics | 2009-11-06 | Paper |
| A two-dimensional self-adaptive \(hp\) finite element method for the characterization of waveguide discontinuities. II: Goal-oriented \(hp\)-adaptivity | 2009-11-06 | Paper |
| A two-dimensional self-adaptivehpfinite element method for the characterization of waveguide discontinuities. I: Energy-norm based automatichp-adaptivity | 2009-11-06 | Paper |
| Explicit polynomial preserving trace liftings on a triangle | 2009-05-13 | Paper |
| \(G^1\)-interpolation and geometry reconstruction for higher order finite elements | 2009-03-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3517285 | 2008-08-12 | Paper |
| Projection-based interpolation and automatic hp-adaptivity for finite element discretizations of elliptic and maxwell problems | 2007-12-10 | Paper |
| Computing with hp-ADAPTIVE FINITE ELEMENTS | 2007-10-09 | Paper |
| Fully automatic \(hp\)-adaptivity in three dimensions | 2007-09-21 | Paper |
| A few new (?) facts about infinite elements | 2007-09-20 | Paper |
| Improving the performance of perfectly matched layers by means of hp‐adaptivity | 2007-07-20 | Paper |
| Discrete Compactness for the hp Version of Rectangular Edge Finite Elements | 2007-06-26 | Paper |
| High-order finite elements applied to the discrete Boltzmann equation | 2007-05-22 | Paper |
| A goal-orientedhp-adaptive finite element method with electromagnetic applications. Part I: electrostatics | 2007-05-21 | Paper |
| Two‐Dimensional High‐Accuracy Simulation of Resistivity Log ging‐While‐Drilling (LWD) Measurements Using a Self‐Adaptiv e Goal‐Oriented $hp$ Finite Element Method | 2007-03-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3425092 | 2007-03-05 | Paper |
| Computing with hp-ADAPTIVE FINITE ELEMENTS | 2006-10-04 | Paper |
| Integration of \(hp\)-adaptivity and a two-grid solver for elliptic problems | 2006-06-30 | Paper |
| Parallel, fully automatic \(hp\)-adaptive \(2d\) finite element package | 2006-06-30 | Paper |
| A posteriori error estimation for acoustic wave propagation problems | 2006-04-06 | Paper |
| Verification of goal-oriented hp-adaptivity | 2006-01-31 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3022238 | 2005-06-23 | Paper |
| \(H^1\), \(H\)(curl) and \(H\)(div)-conforming projection-based interpolation in three dimensions: Quasi-optimal \(p\)-interpolation estimates | 2005-05-12 | Paper |
| Fully automatic \(hp\)-adaptivity for Maxwell's equations | 2005-05-12 | Paper |
| Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations | 2005-03-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4823281 | 2004-10-27 | Paper |
| Quasioptimality of some spectral mixed methods | 2004-08-16 | Paper |
| DISCRETE COMPACTNESS FOR p AND hp 2D EDGE FINITE ELEMENTS | 2004-08-06 | Paper |
| Goal-oriented \(hp\)-adaptivity for elliptic problems. | 2004-05-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4424583 | 2004-02-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4450074 | 2004-02-15 | Paper |
| Conservative discretization of contact/impact problems for nearly rigid bodies | 2004-02-08 | Paper |
| Anhp-adaptive finite element method for electromagnetics. Part 3: A three-dimensional infinite element for Maxwell's equations | 2004-02-03 | Paper |
| p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions | 2004-01-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4790021 | 2003-07-08 | Paper |
| Analysis of a coupled finite-infinite element method for exterior Helmholtz problems | 2003-06-17 | Paper |
| \(hp\)-vector finite element method for eigenmode analysis of waveguides | 2003-05-06 | Paper |
| Dynamic contact/impact problems, energy conservation, and planetary gear trains. | 2003-05-06 | Paper |
| Full-wave analysis of dielectric waveguides at a given frequency | 2002-11-19 | Paper |
| A two-dimensional infinite element for Maxwell's equations | 2002-10-24 | Paper |
| An hp‐adaptive finite element method for electromagnetics—part II: A 3D implementation | 2002-10-10 | Paper |
| Modeling of electromagnetic absorption/scattering problems using \(hp\)-adaptive finite elements | 2002-09-21 | Paper |
| A fully automatic \(hp\)-adaptivity | 2002-08-20 | Paper |
| de Rham diagram for \(hp\) finite element spaces | 2001-03-04 | Paper |
| Discrete compactness and the approximation of Maxwell's equations in $\mathbb{R}^3$ | 2001-02-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4499654 | 2001-01-15 | Paper |
| Maxwell eigenvalues and discrete compactness in two dimensions | 2000-11-13 | Paper |
| An \(hp\)-adaptive finite element method for electromagnetics. I: Data structure and constrained approximation | 2000-11-09 | Paper |
| An infinite element for Maxwell's equations | 2000-06-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4948861 | 2000-04-27 | Paper |
| \(hp\)-adaptive finite elements in electromagnetics | 2000-02-06 | Paper |
| Analysis of a finite‐infinite element method for exterior Helmholtz problems | 1999-08-15 | Paper |
| Convergence of the infinite element methods for the Helmholtz equation in separable domains | 1998-11-01 | Paper |
| An interview of J. Tinsley Oden on some of his personal recollections of research | 1998-09-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4360792 | 1998-07-19 | Paper |
| Solution of 3D-Laplace and Helmholtz equations in exterior domains using \(hp\)-infinite elements | 1998-02-19 | Paper |
| Application of \(hp\)-adaptive BE/FE methods to elastic scattering | 1997-12-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4341280 | 1997-06-16 | Paper |
| Entropy controlled adaptive finite element simulations for compressible gas flow | 1997-01-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4875909 | 1996-04-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4845228 | 1995-10-22 | Paper |
| Recent progress on application of hp‐adaptive BE/FE methods to elastic scattering | 1995-01-11 | Paper |
| Asymptotic convergence in finite and boundary element methods. II: The LBB constant for rigid and elastic scattering problems | 1994-11-06 | Paper |
| Asymptotic convergence in finite and boundary element methods. I: Theoretical results | 1994-08-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4296917 | 1994-07-13 | Paper |
| An adaptive algorithm for unilateral viscoelastic contact problems for beams and plates | 1993-10-17 | Paper |
| Solution of elastic scattering problems in linear acoustics using \(h\)-\(p\) boundary element method | 1993-10-17 | Paper |
| Anh-r-Adaptive Approximate Riemann Solver for the Euler Equations in Two Dimensions | 1993-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4034087 | 1993-05-16 | Paper |
| An \(h\)-\(p\) Taylor-Galerkin finite element method for compressible Euler equations | 1992-09-26 | Paper |
| A note on symmetry boundary conditions in finite element methods | 1991-01-01 | Paper |
| A posteriori error analysis in finite elements: The element residual method for symmetrizable problems with applications to compressible Euler and Navier-Stokes equations | 1990-01-01 | Paper |
| A new finite element method for solving compressible Navier-Stokes equations based on an operator splitting method and h-p adaptivity | 1990-01-01 | Paper |
| Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure | 1989-01-01 | Paper |
| Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation | 1989-01-01 | Paper |
| Toward a universal h-p adaptive finite element strategy. III: Design of h-p meshes | 1989-01-01 | Paper |
| On a characteristic finite element method for compressible gas dynamics | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3770044 | 1987-01-01 | Paper |
| On a mesh optimization method based on a minimization of interpolation error | 1986-01-01 | Paper |
| An adaptive characteristic Petrov-Galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in one space variable | 1986-01-01 | Paper |
| An adaptive characteristic Petrov-Galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in two space variables | 1986-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3802551 | 1986-01-01 | Paper |
| On an h-type mesh-refinement strategy based on minimization of interpolation errors | 1985-01-01 | Paper |
| Extraction methods for second derivatives in finite element approximations of linear elasticity problems | 1985-01-01 | Paper |
| On some convergence results for FDM with irregular mesh | 1984-01-01 | Paper |
| Some remarks on moving finite element methods | 1984-01-01 | Paper |
| Adaptive finite elements for flow problems with moving boundaries. I. Variational principles and a posteriori estimates | 1984-01-01 | Paper |
| On some results concerning the reciprocal formulation for the Signorini's problem | 1982-01-01 | Paper |
| On some existence and uniqueness results in contact problems with nonlocal friction | 1982-01-01 | Paper |
