Solving PDEs in Python

DOI10.1007/978-3-319-52462-7zbMath1376.65144OpenAlexW4211261807MaRDI QIDQ2963529

Publication date: 14 February 2017

Full work available at URL: https://doi.org/10.1007/978-3-319-52462-7

finite element method textbook Poisson equation FEniCS Python numerical Software

Theory of programming languages (68N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Packaged methods for numerical algorithms (65Y15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

Related Items (34)

Randomized maximum likelihood based posterior sampling ⋮ SELCIE: a tool for investigating the chameleon field of arbitrary sources ⋮ Covariant spacetime formalism for applications to thermo-hyperelasticity ⋮ A multi-scale method for complex flows of non-Newtonian fluids ⋮ A multi-physics methodology for four states of matter ⋮ Exploiting compression in solving discretized linear systems ⋮ An intelligent nonlinear meta element for elastoplastic continua: deep learning using a new time-distributed residual U-net architecture ⋮ A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem ⋮ Gradient Flows for Coupling Order Parameters and Mechanics ⋮ Regularized Jacobi-type ADMM-methods for a class of separable convex optimization problems in Hilbert spaces ⋮ Displacement‐pseudostress formulation for the linear elasticity spectral problem ⋮ Numerical approximation of the solution of an obstacle problem modelling the displacement of elliptic membrane shells via the penalty method ⋮ Uniform turnpike property and singular limits ⋮ Topology optimization applied to the design of Tesla-type turbine devices ⋮ A posteriori analysis for a mixed formulation of the Stokes spectral problem ⋮ Discontinuous Galerkin methods for the acoustic vibration problem ⋮ Approximation of rigid obstacle by highly viscous fluid ⋮ Interior penalty discontinuous Galerkin methods for the velocity-pressure formulation of the Stokes spectral problem ⋮ Automated finite element solution of diffusion models for image denoising ⋮ Physics-informed graph neural network emulation of soft-tissue mechanics ⋮ Unnamed Item ⋮ A proximal gradient method for control problems with non-smooth and non-convex control cost ⋮ Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime ⋮ Local extreme learning machines and domain decomposition for solving linear and nonlinear partial differential equations ⋮ A mixed discontinuous Galerkin method with symmetric stress for Brinkman problem based on the velocity-pseudostress formulation ⋮ Construction of constrained experimental designs on finite spaces for a modified \(\mathrm{E}_k\)-optimality criterion ⋮ Bayesian inversion of a diffusion model with application to biology ⋮ FEniCS ⋮ Space-time backward substitution method for nonlinear transient heat conduction problems in functionally graded materials ⋮ Emulation of cardiac mechanics using graph neural networks ⋮ Uniform in time \(L^\infty \)-estimates for an attraction-repulsion chemotaxis model with double saturation ⋮ An augmented Lagrangian algorithm for recovery of ice thickness in unidirectional flow using the shallow ice approximation ⋮ φenics: Vainshtein screening with the finite element method ⋮ A two-grid decoupled algorithm for a multi-dimensional Darcy-Brinkman fracture model

Uses Software

This page was built for publication: Solving PDEs in Python