Coercive space-time finite element methods for initial boundary value problems
From MaRDI portal
Publication:1988489
DOI10.1553/etna_vol52s154zbMath1436.65144OpenAlexW3014898465MaRDI QIDQ1988489
Publication date: 23 April 2020
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol52/abstract.php?vol=52&pages=154-194
Variational methods applied to PDEs (35A15) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Heat equation (35K05) Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items
A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations, A New Approach to Space-Time Boundary Integral Equations for the Wave Equation, A Parallel Algorithm for Solving Linear Parabolic Evolution Equations, Boundary element methods. Abstracts from the workshop held February 2--8, 2020, A Well-Posed First Order System Least Squares Formulation of the Instationary Stokes Equations, Towards coercive boundary element methods for the wave equation, Exponential convergence of hp-time-stepping in space-time discretizations of parabolic PDES, Optimization problems for PDEs in weak space-time form. Abstracts from the workshop held March 5--10, 2023, Design and performance of a space-time virtual element method for the heat equation on prismatic meshes, Space-Time Finite Element Methods for Distributed Optimal Control of the Wave Equation, Integral representations and quadrature schemes for the modified Hilbert transformation, A note on a modified Hilbert transform, Space-Time Virtual Elements for the Heat Equation, Convergence of a continuous Galerkin method for hyperbolic-parabolic systems, Optimal Dirichlet boundary control by Fourier neural operators applied to nonlinear optics, Space-time methods for time-dependent partial differential equations. Abstracts from the workshop held February 6--12, 2022, A generalized inf-sup stable variational formulation for the wave equation, Minimal residual space-time discretizations of parabolic equations: asymmetric spatial operators, A note on the efficient evaluation of a modified Hilbert transformation, Space-time least-squares finite elements for parabolic equations, The Newmark Method and a Space–Time FEM for the Second–Order Wave Equation, An exact realization of a modified Hilbert transformation for space-time methods for parabolic evolution equations, Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces, Further results on a space-time FOSLS formulation of parabolic PDEs, Adaptive space-time finite element methods for parabolic optimal control problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems
- Variational space-time methods for the wave equation
- Space-time finite element methods for parabolic problems
- A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation
- Boundary integral operators for the heat equation
- Semigroups of linear operators and applications to partial differential equations
- The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
- Continuous finite elements in space and time for the nonhomogeneous wave equation
- Space-time \(hp\)-approximation of parabolic equations
- Theory and practice of finite elements.
- A stabilized space-time finite element method for the wave equation
- Space-time isogeometric analysis of parabolic evolution problems
- The fast solution of boundary integral equations.
- Adaptive Galerkin finite element methods for the wave equation
- Stability of Petrov-Galerkin discretizations: application to the space-time weak formulation for parabolic evolution problems
- Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations
- Space-time adaptive wavelet methods for parabolic evolution problems
- Analysis of the DPG Method for the Poisson Equation
- Solving Ordinary Differential Equations I
- 1. Space-time boundary element methods for the heat equation
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems
- A continuous space-time finite element method for the wave equation
- Stability of sparse space-time finite element discretizations of linear parabolic evolution equations
- Stability of Galerkin discretizations of a mixed space–time variational formulation of parabolic evolution equations
- Fractional Space-Time Variational Formulations of (Navier--) Stokes Equations
- An improved error bound for reduced basis approximation of linear parabolic problems
- Galerkin Finite Element Methods for Parabolic Problems
- Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem
- Petrov–Galerkin space-time hp-approximation of parabolic equations in H1/2