On the convergence of monolithic multigrid for implicit Runge-Kutta time stepping of finite element problems
From MaRDI portal
Publication:6623674
DOI10.1137/23M1569344MaRDI QIDQ6623674
Publication date: 24 October 2024
Published in: (Search for Journal in Brave)
Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Preconditioners for iterative methods (65F08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- An algebraic multigrid method for high order time-discretizations of the div-grad and the curl-curl equations
- Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
- Mixed finite elements in \(\mathbb{R}^3\)
- Additive Schwarz methods for the \(p\)-version finite element method
- A history of Runge-Kutta methods
- Multigrid in H(div) and H(curl)
- Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow
- Iterative Methods for Linear Systems
- Firedrake
- Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics
- Algebraic Multigrid Solvers for Complex-Valued Matrices
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- On the implementation of implicit Runge-Kutta methods
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
- Multigrid Method for Maxwell's Equations
- Higher-order finite element discretizations in a benchmark problem for incompressible flows
- A Multigrid Tutorial, Second Edition
- Irksome: Automating Runge–Kutta Time-stepping for Finite Element Methods
- Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part I: the Linear Setting
- Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part II: Nonlinearities and DAEs
- A New Block Preconditioner for Implicit Runge--Kutta Methods for Parabolic PDE Problems
- The Mathematical Theory of Finite Element Methods
- Order‐Optimal Preconditioners for Implicit Runge–Kutta Schemes Applied to Parabolic PDEs
- Additive Schwarz preconditioning for p-version triangular and tetrahedral finite elements
- Multigrid Methods for Implicit Runge--Kutta and Boundary Value Method Discretizations of Parabolic PDEs
- Implicit Runge-Kutta Processes
- A special stability problem for linear multistep methods
- Finite Elements
This page was built for publication: On the convergence of monolithic multigrid for implicit Runge-Kutta time stepping of finite element problems
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6623674)