A DPG method for the quad-curl problem
DOI10.1016/j.camwa.2023.09.026arXiv2301.10588OpenAlexW4387258212MaRDI QIDQ6072948
Thomas Führer, Norbert Heuer, Pablo Herrera
Publication date: 13 October 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.10588
Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Cites Work
- Unnamed Item
- The DPG method for the Stokes problem
- On the equivalence of fractional-order Sobolev semi-norms
- Breaking spaces and forms for the DPG method and applications including Maxwell equations
- Analysis of nonconforming stream function and pressure finite element spaces for the Navier-Stokes equations
- Magnetic reconnection in plasmas
- Hodge decomposition methods for a quad-curl problem on planar domains
- Invertibility of the biharmonic single layer potential operator
- Fully discrete DPG methods for the Kirchhoff-Love plate bending model
- DPG methods for a fourth-order div problem
- A DPG method for shallow shells
- Superconvergent DPG methods for second-order elliptic problems
- A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations
- Locally conservative discontinuous Petrov-Galerkin finite elements for fluid problems
- Finite Element Methods for Incompressible Flow Problems
- A Discontinuous Galerkin Method for the Fourth-Order Curl Problem
- An analysis of the practical DPG method
- Finite Element Methods for Maxwell's Transmission Eigenvalues
- A nonconforming finite element method for fourth order curl equations in ℝ³
- The interior transmission problem for anisotropic Maxwell's equations and its applications to the inverse problem
- Thehp-version of the boundary element method with quasi-uniform meshes in three dimensions
- The inverse electromagnetic scattering problem for anisotropic media
- Finite Element Methods for Navier-Stokes Equations
- On the boundary value problem of the biharmonic operator on domains with angular corners
- Localization of the Aronszajn-Slobodeckij norm and application to adaptive boundary elements methods. Part I. The two-dimensional case
- A Decomposition Result for Kirchhoff Plate Bending Problems and a New Discretization Approach
- Mixed schemes for quad-curl equations
- An ultraweak formulation of the Kirchhoff–Love plate bending model and DPG approximation
- Finite Element Methods for Maxwell's Equations
- A Spacetime DPG Method for the Schrödinger Equation
- Multilevel decompositions and norms for negative order Sobolev spaces
- Trace operators of the bi-Laplacian and applications
- Analysis of an interior penalty DG method for the quad-curl problem
- An Overview of the Discontinuous Petrov Galerkin Method
- MINRES for Second-Order PDEs with Singular Data
This page was built for publication: A DPG method for the quad-curl problem
