Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part II: Nonlinearities and DAEs-Reference-Cited by-同舟云学术

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Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part II: Nonlinearities and DAEs

Published:2022-03-14 Issue:2 Volume:44 Page:A636-A663
ISSN:1064-8275
Container-title:SIAM Journal on Scientific Computing
language:en
Short-container-title:SIAM J. Sci. Comput.

Author:

Southworth Ben S.^ORCID,Krzysik Oliver^ORCID,Pazner Will^ORCID

Funder

Australian Research Training Program

Lawrence Livermore National Laboratory

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Reference39 articles.

1. Galerkin and Runge–Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence

2. MFEM: A modular finite element methods library

3. An Interior Penalty Finite Element Method with Discontinuous Elements

4. Preconditioners for the Discontinuous Galerkin time-stepping method of arbitrary order

5. A second-order projection method for the incompressible navier-stokes equations

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1. Spectral Analysis of Implicit \(\boldsymbol{S}\)-Stage Block Runge–Kutta Preconditioners;SIAM Journal on Scientific Computing;2024-06-17

2. Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems;SIAM Journal on Scientific Computing;2024-05-02

3. On the Convergence of Monolithic Multigrid for Implicit Runge–Kutta Time Stepping of Finite Element Problems;SIAM Journal on Scientific Computing;2024-03-13

4. Stage-Parallel Fully Implicit Runge–Kutta Implementations with Optimal Multilevel Preconditioners at the Scaling Limit;SIAM Journal on Scientific Computing;2023-07-18

5. Spectral analysis of implicit 2 stage block Runge-Kutta preconditioners;Linear Algebra and its Applications;2023-07

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