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Finite Element Analysis
Finite Element Method

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Inside Livermore Lab
FSSpMDM - Accelerating Small Sparse Matrix Multiplications by Run-Time Code Generation

Explore code generation strategies for accelerating small sparse matrix multiplications in high-order finite element solvers, focusing on performant operator kernels for prismatic and hexahedral elements.
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Explore high-order element-based Galerkin methods for capturing hurricane intensification, including multirate time integration and multi-modeling frameworks for improved atmospheric modeling.
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Full Envelope DPG Approximation for Electromagnetic Waveguides

Explore advanced finite element analysis for electromagnetic waveguides, focusing on stability and convergence of full envelope DPG approximation in optical amplifier simulations.
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The Netgen/NGSolve Finite Element Software - Overview and Applications

Explore Netgen/NGSolve finite element software: overview, Python scripting, teaching applications, and recent developments in matrix-valued elements, GPU utilization, and time-dependent problems.
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Explore high-order mathematical calculations for EEG source localization using MFEM. Learn to solve the EEG forward problem with patient-specific geometry and tissue conductivity from medical images.
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Explore high-order finite element methods for shock hydrodynamics simulations, covering Lagrangian mechanics, mesh optimization, and remap phases in ALE formulation.
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FEniCSx: Design of the Next Generation FEniCS Libraries for Finite Element Methods

Explore FEniCSx, the next-gen finite element library. Learn design improvements, high-performance kernels, and flexible solver creation in C++ or Python for partial differential equations.
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Explore advanced computational techniques for simulating heart function, focusing on efficient ECG calculations and electromechanical models using MFEM for improved cardiac disease understanding and treatment.
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Computation and Reduced Order Modelling of Periodic Flows

Explore efficient computation and reduced order modeling techniques for periodic flows using MFEM, focusing on space-time domain solutions and hyper-reduced POD Galerkin models.
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MFEM Workshop 2022 - Wrap-Up and Simulation Contest Winners

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MFEM in the Cloud: AWS Tutorial for Scalable Finite Element Applications

Learn to use MFEM in the cloud for scalable finite element discretization application development with step-by-step instructions and hands-on demonstration.
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Accelerated Deployment of MFEM Based Solvers in Large Scale Industrial Problems

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MFEM Application to EM-Wave Simulation in ECR Space Plasma Thrusters

Explore EM-wave simulation in ECR space plasma thrusters using MFEM. Learn about Maxwell equations, cold-plasma approximation, and finite element discretization for space propulsion applications.
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MFEM Workshop 2022 - Welcome and Overview

Explore MFEM's high-order mathematical calculations for scientific simulations, community updates, and development roadmap in this workshop overview.
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The State of MFEM - Workshop 2022

Explore MFEM's high-order mathematical calculations for scientific simulations, including key capabilities, examples, and future plans. Learn about the project's growth and recent software release.
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