The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods
From MaRDI portal
Publication:2217128
DOI10.1016/j.camwa.2020.03.004OpenAlexW3012754942MaRDI QIDQ2217128
Niklas Baumgarten, Christian Wieners
Publication date: 18 December 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://publikationen.bibliothek.kit.edu/1000117837/100668525
Monte Carlo methods (65C05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Numerical solutions to stochastic differential and integral equations (65C30)
Related Items
Hybrid Discretizations in Solid Mechanics for Non-linear and Non-smooth Problems, A massively parallel implementation of multilevel Monte Carlo for finite element models, Space-time discontinuous Galerkin methods for weak solutions of hyperbolic linear symmetric Friedrichs systems, Visco-acoustic full waveform inversion: from a DG forward solver to a Newton-CG inverse solver, Dynamic phase-field fracture with a first-order discontinuous Galerkin method for elastic waves
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems
- Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients
- Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients
- On the superlinear convergence in computational elasto-plasticity
- A geometric data structure for parallel finite elements and the application to multigrid methods with block smoothing
- A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE
- Numerical evaluation of discontinuous and nonconforming finite element methods in nonlinear solid mechanics
- Space-time methods. Applications to partial differential equations
- Space-time discontinuous Petrov-Galerkin methods for linear wave equations in heterogeneous media
- The deal.II library, version 8.5
- A multigrid multilevel Monte Carlo method for transport in the Darcy-Stokes system
- A Locally Conservative Enriched Galerkin Approximation and Efficient Solver for Elliptic and Parabolic Problems
- Finite element analysis and algorithms for single-crystal strain-gradient plasticity
- Multilevel Monte Carlo Methods
- A scalable parallel factorization of finite element matrices with distributed Schur complements
- Engineering Multilevel Graph Partitioning Algorithms
- The Skeleton Reduction for Finite Element Substructuring Methods
- Efficient time integration for discontinuous Galerkin approximations of linear wave equations
- deal.II—A general-purpose object-oriented finite element library
- Mixed and Hybrid Finite Element Methods
- Fast and Exact Simulation of Stationary Gaussian Processes through Circulant Embedding of the Covariance Matrix
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Distributed Point Objects. A New Concept for Parallel Finite Elements
- Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and Its Application to Multilevel Monte Carlo Methods
- An Overview of the Discontinuous Petrov Galerkin Method
- UG -- a flexible software toolbox for solving partial differential equations
