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Towards a complete FEM-based simulation toolkit on GPUs: Geometric Multigrid solvers

Markus Geveler, Dirk Ribbrock, Dominik Goddeke, Peter Zajac, Stefan Turek

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Tags: Benchmarking, CUDA, Differential equations, FEM, Finite element method, Fluid dynamics, nVidia, nVidia GeForce GTX 285, Partial differential equations, PDEs, Sparse matrix

December 7, 2011 by hgpu

GPU Acceleration of Solving Parabolic Partial Differential Equations Using Difference Equations

David L. Foster

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Tags: Computer science, CUDA, Differential equations, nVidia, nVidia GeForce GTX 480, Optimization, Partial differential equations, PDEs, Tesla C1060

December 1, 2011 by hgpu

GPU Accelerated Numerical Solutions to Chaotic PDEs

J.R. Seaton, J.C Sprott

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Tags: Algorithms, Chaotic Dynamics, Differential equations, Nonlinear Sciences, nVidia, Partial differential equations, PDEs, Physics, Tesla C870

December 1, 2011 by hgpu

Multiresolution Flow Simulations on Multi/many-core Architectures

Diego Rossinelli

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Tags: Algorithms, Computational Complexity, CUDA, Differential equations, Fluid dynamics, Heterogeneous systems, nVidia, Partial differential equations, PDEs, Tesla S1070, Tesla T10, Thesis, Wavelet

November 29, 2011 by hgpu

Scaling Results for a Discontinuous Galerkin Finite-Element Wave Solver on Multi-GPU Systems

Max Rietmann, Olaf Schenk, Helmar Burkhart

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Tags: CUDA, Differential equations, Earth and Space Sciences, FEM, Finite element method, nVidia, Partial differential equations, PDEs, Seismology, Tesla C2050, Tesla C2070

November 26, 2011 by hgpu

Anisotropic mesh coarsening and refinement on GPU architecture

Matthew Potter

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Tags: Algorithms, CUDA, Differential equations, Finite volume method, Fluid dynamics, nVidia, Partial differential equations, PDEs, Tesla M2050, Thesis

November 19, 2011 by hgpu

Implementation of a multigrid solver on GPU for Stokes equations with strongly variable viscosity based on Matlab and CUDA

Liang Zheng, Taras Gerya, Matthew Knepley, David A. Yuen, Huai Zhang, Yaolin Shi

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Tags: CUDA, Differential equations, Earth and Space Sciences, Numerical simulation, nVidia, Partial differential equations, PDEs, Tesla C2070

November 5, 2011 by hgpu

Parallel Smoothers for Matrix-based Multigrid Methods on Unstructured Meshes Using Multicore CPUs and GPUs

Vincent Heuveline, Dimitar Lukarski, Nico Trost, Jan-Philipp Weiss

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Tags: Algorithms, Computer science, CUDA, Differential equations, Linear Algebra, nVidia, Package, Partial differential equations, PDEs, Tesla S1070

October 31, 2011 by hgpu

A scalable hybrid algorithm based on domain decomposition and algebraic multigrid for solving partial differential equations on a cluster of CPU/GPUs

Li Luo, Chao Yang, Yubo Zhao, Xiao-Chuan Cai

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Tags: Algorithms, Computer science, CUDA, Differential equations, Factorization, FFT, Finite difference, GPU cluster, nVidia, Partial differential equations, PDEs, Tesla C1060

October 30, 2011 by hgpu

An Exploration of OpenCL on Multiple Hardware Platforms for a Numerical Relativity Application

Niket K. Choudhary, Sandeep Navada, Rakesh Ginjupalli, Gaurav Khanna

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Tags: Astrophysics, ATI, ATI Radeon HD 5870, Differential equations, nVidia, OpenCL, Partial differential equations, PDEs, Tesla C2050

October 29, 2011 by hgpu

Massively Parallel Algorithms for CFD Simulation and Optimization on Heterogeneous Many-Core Architectures

Austen C. Duffy

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Tags: Algorithms, CUDA, Fluid dynamics, Fortran, GPU cluster, Heterogeneous systems, nVidia, nVidia GeForce GTX 470, nVidia GeForce GTX 480, Optimization, Partial differential equations, PDEs, Thesis

October 23, 2011 by hgpu

Designing the Language Liszt for Building Portable Mesh-based PDE Solvers

Zachary DeVito, Pat Hanrahan

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Source codes

Tags: Code generation, Compilers, Computer science, CUDA, Heterogeneous systems, nVidia, Optimization, Package, Partial differential equations, PDEs, Performance, Programming Languages, Tesla C2050

October 19, 2011 by hgpu

Coccinelle: a C code transformation engine using SmPL for matches, refactorings, and bug fixing

Advances in Semantic Patching for HPC-oriented Refactorings with Coccinelle

DuoReduce: MLIR's benchmark

Hardware-Assisted Software Testing and Debugging for Heterogeneous Computing

Shamrock: Multi-GPU hydrodynamics for astrophysics

The Shamrock code: I- Smoothed Particle Hydrodynamics on GPUs

LLMPerf: GPU Performance Modeling meets Large Language Models

Hercules: A Compiler for Productive Programming of Heterogeneous Systems

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high performance computing on graphics processing units: hgpu.org

Towards a complete FEM-based simulation toolkit on GPUs: Geometric Multigrid solvers

GPU Acceleration of Solving Parabolic Partial Differential Equations Using Difference Equations

GPU Accelerated Numerical Solutions to Chaotic PDEs

Multiresolution Flow Simulations on Multi/many-core Architectures

Scaling Results for a Discontinuous Galerkin Finite-Element Wave Solver on Multi-GPU Systems

Anisotropic mesh coarsening and refinement on GPU architecture

Implementation of a multigrid solver on GPU for Stokes equations with strongly variable viscosity based on Matlab and CUDA

Parallel Smoothers for Matrix-based Multigrid Methods on Unstructured Meshes Using Multicore CPUs and GPUs

A scalable hybrid algorithm based on domain decomposition and algebraic multigrid for solving partial differential equations on a cluster of CPU/GPUs

An Exploration of OpenCL on Multiple Hardware Platforms for a Numerical Relativity Application

Massively Parallel Algorithms for CFD Simulation and Optimization on Heterogeneous Many-Core Architectures

Designing the Language Liszt for Building Portable Mesh-based PDE Solvers

Recent source codes

Coccinelle: a C code transformation engine using SmPL for matches, refactorings, and bug fixing

DuoReduce: MLIR's benchmark

Shamrock: Multi-GPU hydrodynamics for astrophysics

LLMPerf: GPU Performance Modeling meets Large Language Models

Hercules: A Compiler for Productive Programming of Heterogeneous Systems

Celerity Runtime: High-level C++ for Accelerator Clusters

wgpy: WebGL accelerated numpy-compatible array library for web browser

Microbenchmarking OpenMP target offload with Catch2

SUperman: Highly Efficient Permanent Computation Library

TransCL: An Automatic CUDA-to-OpenCL Programs Transformation Framework

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