The \textsc{deal.II} finite element library: design, features, and insights

DOI10.1016/j.camwa.2020.02.022OpenAlexW3000936750MaRDI QIDQ2217129

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/1910.13247

zbMATH Keywords

finite elements mathematical software scientific computing software design

Mathematics Subject Classification ID

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 differentiation (65D25) Packaged methods for numerical algorithms (65Y15)

Related Items

Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data, A barrier method for frictional contact on embedded interfaces, High-accuracy numerical models of Brownian thermal noise in thin mirror coatings, A numerical study of the jerky crack growth in elastoplastic materials with localized plasticity, The \texttt{deal.II} library, Version 9.3, Model hierarchies and higher-order discretisation of time-dependent thin-film free boundary problems with dynamic contact angle, The \texttt{deal.II} library, version 9.4, Discrete data-adaptive approximation of hyperelastic energy functions, Physics‐based modeling and predictive simulation of powder bed fusion additive manufacturing across length scales, Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains, Robust design optimization for enhancing delamination resistance of composites, A Benchmark for the Bayesian Inversion of Coefficients in Partial Differential Equations, Global existence of classical solutions and numerical simulations of a cancer invasion model, The \texttt{deal.II} library, version 9.5, Vibration analysis of piezoelectric Kirchhoff–Love shells based on Catmull–Clark subdivision surfaces, Deep reinforcement learning for adaptive mesh refinement, Parallel Scalability of Three-Level FROSch Preconditioners to 220000 Cores using the Theta Supercomputer, Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations, A weighted hybridizable discontinuous Galerkin method for drift-diffusion problems, Dual-solver research based on the coupling of flux reconstruction and finite volume methods, A low-rank update for relaxed Schur complement preconditioners in fluid flow problems, A comparison of non-matching techniques for the finite element approximation of interface problems, Exploiting high‐contrast Stokes preconditioners to efficiently solve incompressible fluid–structure interaction problems, lifex-cfd: an open-source computational fluid dynamics solver for cardiovascular applications, Tensor-product space-time goal-oriented error control and adaptivity with partition-of-unity dual-weighted residuals for nonstationary flow problems, A novel approach to compute the spatial gradients of enriching functions in the X-FEM with a hybrid representation of cracks, Hyperbolic diffusion in flux reconstruction: optimisation through kernel fusion within tensor-product elements, A modified combined active-set Newton method for solving phase-field fracture into the monolithic limit, A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction, Preserving the positivity of the deformation gradient determinant in intergrid interpolation by combining RBFs and SVD: Application to cardiac electromechanics, Flux-corrected transport stabilization of an evolutionary cross-diffusion cancer invasion model, Monolithic parallel overlapping Schwarz methods in fully-coupled nonlinear chemo-mechanics problems, MooAFEM: an object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs, The discontinuous Galerkin method: derivation and properties, High-performance implementation of discontinuous Galerkin methods with application in fluid flow, Dual-weighted residual a posteriori error estimates for a penalized phase-field slit discontinuity problem, Smoothed-adaptive perturbed inverse iteration for elliptic eigenvalue problems, Numerical evidence of anomalous energy dissipation in incompressible Euler flows: towards grid-converged results for the inviscid Taylor–Green problem, Linking ghost penalty and aggregated unfitted methods, On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations, Quasi-Optimal Mesh Sequence Construction through Smoothed Adaptive Finite Element Methods, Constrained least-squares based adaptive-order finite-volume WENO scheme for the simulation of viscous compressible flows on unstructured grids, A unified error analysis for nonlinear wave-type equations with application to acoustic boundary conditions, A Posteriori Estimator for the Adaptive Solution of a Quasi-Static Fracture Phase-Field Model with Irreversibility Constraints

Uses Software

Cites Work