Solve forward and inverse problems related to partial differential equations using finite basis physics-informed neural networks (FBPINNs)

A framework for high-performance domain decomposition methods.

Decomposed Optimization Time Integration (DOT) is a domain-decomposed optimization method for fast, reliable simulation of deformation dynamics. DOT efficiently converges with frame-rate time-steps across a wide range of extreme conditions.

DDC is a discrete domain computation library.

Code for training and inferring acoustic wave propagation in 3D

Python Library for rectangular decomposition of 2D binary images. Useful for ARD(Adaptive Rectangular Decomposition) sound simulation. :snake: :package:

bzCompute is a computation graph library with built-in support for domain-decomposition and prallel computation. The library can be used for expressing and executing large number of mathematical and text-processing operations using Data-Flow graphs, (Educational version of tensorflow), written in pure python code with numpy support.

GPU-accelerated rectangular decomposition for sound propagation modeling :zap: :package:

A Robust Algebraic Domain Decomposition Preconditioner For Sparse Normal Equations

Photoelectrochemical Solar Cell Simulator in 1D

Repository for testing asynchronous schwarz methods.

Fluid flow simulator using MFEM and multiscale space-time sub-domains.

Photoelctrochemical Solar Cell Simulator

Domain decomposition learning algorithms for elliptic boundary value problems, with focus on the classical Dirichlet-Neumann and Robin-Robin algorithms.

Finite and boundary element methods on Python

Mortar3D.jl is a Julia package to calculate discrete projections between non-conforming finite element mesheds. The resulting "mortar matrices" can be used to tie non-conforming finite element meshes together which are meshed separately to construct bigger models.

Decompose 2D/3D structured meshes between multiple MPI processes in a pencil-like manner

Robin-type Domain Decomposition

This repository implements an Extended Physics-Informed DeepONet (XPIDON) model for simulating autoclave composite curing processes. It features a nonlinear decoder, subdomain-specific input normalization, and an adaptive and automated domain decomposition strategy.

A two-dimensional domain decomposition using MPI to communicate and reduce matrix & array computations in the equation y=Ax.

A Multilevel Schwarz Preconditioner Based on a Hierarchy of Coarse Spaces

Solver library for computational mechanics problems

Vanishing Viscosity solution predicting Graph Neural Networks and Domain Decomposable Reduced Order Models based on the Discontinuous Galerking method applied to Friedrichs' systems

Parallel implementation of a simple ecosystem based on Lotka-Volterra model (Predator-Prey).

Repository containing deal.ii implementation of domain decomposition for Biot system of poroelasticity

ACSE9 Project code repo

Modified version of BIotDD with more functions added. Later need to be merged with BiotDD.

Serial and Parallel numerical methods for solving partial differential equations using finite differences with OpenMP. Implementation of the serial and parallel Jacobi and Gauss-Seidel methods for solving linear systems. Implementation of the Additive Schwarz and Restricted Additive Schwarz methods for domain decomposition.

Parallel Sudoku Implementation using Charm++

(Development-paused) A Julia finite element tearing and interconnecting (FETI) prototype implementation. Intended for gathering thoughts, pseudocode, and docs for FETI.