BoSSS: a package for multigrid extended discontinuous Galerkin methods
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Publication:2217100
DOI10.1016/j.camwa.2020.05.001OpenAlexW3031153079MaRDI QIDQ2217100
Florian Kummer, Jens Weber, Martin Smuda
Publication date: 18 December 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.02431
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
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On a marching level‐set method for extended discontinuous Galerkin methods for incompressible two‐phase flows: Application to two‐dimensional settings, High-order enforcement of jumps conditions between compressible viscous phases: an extended interior penalty discontinuous Galerkin method for sharp interface simulation, BoSSS
Uses Software
Cites Work
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- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- XFEM with hanging nodes for two-phase incompressible flow
- Algebraic multigrid techniques for discontinuous Galerkin methods with varying polynomial order
- Schwarz methods over the course of time
- On fast factorization pivoting methods for sparse symmetric indefinite systems
- An extended pressure finite element space for two-phase incompressible flows with surface tension
- On the fast solutions of nonlinear elliptic equations
- On the multi-grid method applied to difference equations
- An incompressible immersed boundary solver for moving body flows using a cut cell discontinuous Galerkin method
- Calculation of two-phase Navier-Stokes flows using phase-field modeling
- The stable XFEM for two-phase flows
- The finite element method for elliptic equations with discontinuous coefficients
- A conservative level set method for two phase flow
- Highly accurate surface and volume integration on implicit domains by means of moment-fitting
- Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows
- The intrinsic XFEM for two-fluid flows
- An unfitted finite element method using discontinuous Galerkin
- Fitted and Unfitted Finite-Element Methods for Elliptic Equations with Smooth Interfaces
- Convergence of Multi-Grid Iterations Applied to Difference Equations
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
- Rigorous Quantitative Analysis of Multigrid, I. Constant Coefficients Two-Level Cycle with $L_2 $-Norm
- Staggered discontinuous Galerkin methods for the incompressible Navier–Stokes equations: Spectral analysis and computational results
- Fourier Analysis of Periodic Stencils in Multigrid Methods
- A high‐order discontinuous Galerkin method for compressible flows with immersed boundaries
- Space-Time FE-DG Discretization of the Anisotropic Diffusion Equation in Any Dimension: The Spectral Symbol
- Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems
- A finite element method for crack growth without remeshing
- An unfitted interior penalty discontinuous Galerkin method for incompressible Navier–Stokes two‐phase flow
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
- A relaxation method for solving elliptic difference equations
- Arbitrary discontinuities in space–time finite elements by level sets and X‐FEM
- A diffuse-interface description of internal waves in a near-critical fluid
- Two-level dynamic scheduling in PARDISO: Improved scalability on shared memory multiprocessing systems
