[BUKU][B] Mathematical aspects of discontinuous Galerkin methods
DA Di Pietro, A Ern - 2011 - books.google.com
This book introduces the basic ideas to build discontinuous Galerkin methods and, at the
same time, incorporates several recent mathematical developments. The presentation is to a …
same time, incorporates several recent mathematical developments. The presentation is to a …
Unified form language: A domain-specific language for weak formulations of partial differential equations
We present the Unified Form Language (UFL), which is a domain-specific language for
representing weak formulations of partial differential equations with a view to numerical …
representing weak formulations of partial differential equations with a view to numerical …
DOLFIN: Automated finite element computing
We describe here a library aimed at automating the solution of partial differential equations
using the finite element method. By employing novel techniques for automated code …
using the finite element method. By employing novel techniques for automated code …
ConvPDE-UQ: Convolutional neural networks with quantified uncertainty for heterogeneous elliptic partial differential equations on varied domains
In this work, we introduce the ConvPDE-UQ framework for constructing light-weight
numerical solvers for partial differential equations (PDEs) using convolutional neural …
numerical solvers for partial differential equations (PDEs) using convolutional neural …
Efficient Assembly of and Conforming Finite Elements
In this paper, we discuss how to efficiently evaluate and assemble general finite element
variational forms on H(div) and H(curl). The proposed strategy relies on a decomposition of …
variational forms on H(div) and H(curl). The proposed strategy relies on a decomposition of …
FFC: the FEniCS form compiler
One of the key features of FEniCS is automated code generation for the general and efficient
7018 solution of finite element variational problems. This automated code generation relies …
7018 solution of finite element variational problems. This automated code generation relies …
Optimizations for quadrature representations of finite element tensors through automated code generation
We examine aspects of the computation of finite element matrices and vectors that are made
possible by automated code generation. Given a variational form in a syntax that resembles …
possible by automated code generation. Given a variational form in a syntax that resembles …
Biomolecular electrostatics—I want your solvation (model)
JP Bardhan - Computational Science & Discovery, 2012 - iopscience.iop.org
We review the mathematical and computational foundations for implicit-solvent models in
theoretical chemistry and molecular biophysics. These models are valuable theoretical tools …
theoretical chemistry and molecular biophysics. These models are valuable theoretical tools …
A traveling-wave solution for bacterial chemotaxis with growth
Bacterial cells navigate their environment by directing their movement along chemical
gradients. This process, known as chemotaxis, can promote the rapid expansion of bacterial …
gradients. This process, known as chemotaxis, can promote the rapid expansion of bacterial …
OP2: An active library framework for solving unstructured mesh-based applications on multi-core and many-core architectures
OP2 is an “active” library framework for the solution of unstructured mesh-based
applications. It utilizes source-to-source translation and compilation so that a single …
applications. It utilizes source-to-source translation and compilation so that a single …