Results 51 to 60 of about 32,548,578 (242)
Enriched Meshfree Method for an Accurate Numerical Solution of the Motz Problem
Advances in Mathematical Physics, 2016 We present an enriched meshfree solution of the Motz problem. The Motz problem has been known as a benchmark problem to verify the efficiency of numerical methods in the presence of a jump boundary data singularity at a point, where an abrupt change ...
Won-Tak Hong
doaj +1 more source
Multiscale Partition of Unity [PDF]
, 2013 We introduce a new Partition of Unity Method for the numerical homogenization of elliptic partial differential equations with arbitrarily rough coefficients. We do not restrict to a particular ansatz space or the existence of a finite element mesh.
C.A. Duarte +11 more
core +2 more sources
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 4, April 2026.Abstract Volcanic calderas are large depressions formed by the rapid collapse of overlying rock into a magma chamber during eruptions. We utilize Smoothed Particle Hydrodynamics (SPH), a continuum, meshfree numerical method, to study the 2018 caldera collapse at Kīlauea volcano in Hawaii.
Enrique M. del Castillo, Paul Segall
wiley +1 more source
Simulation of Skeletal Muscles in Real-Time with Parallel Computing in GPU
Applied Sciences, 2020 Modeling and simulation of the skeletal muscles are usually solved using the Finite Element method (FEM) which, although accurate, commonly needs a complex mesh and the solution is not processed in real-time. In this work, a meshfree model that simulates
Octavio Navarro-Hinojosa +1 more
doaj +1 more source
Solving One Dimensional Scalar Conservation Laws by Particle Management
, 2008 We present a meshfree numerical solver for scalar conservation laws in one space dimension. Points representing the solution are moved according to their characteristic velocities.
A. Harten +10 more
core +1 more source
Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 818-834, 30 January 2026.ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado +2 more
wiley +1 more source
The Peridigm Meshfree Peridynamics Code
Journal of Peridynamics and Nonlocal Modeling, 2023 Peridigm is a meshfree peridynamics code written in C++ for use on large-scale parallel computers. It was originally developed at Sandia National Laboratories and is currently managed as an open-source, community driven software project.
D. Littlewood +4 more
semanticscholar +1 more source
Recent developments in stabilized Galerkin and collocation meshfree methods
Computer Assisted Methods in Engineering and Science, 2017 Meshfree methods have been developed based on Galerkin type weak formulation and strong formulation with collocation. Galerkin type formulation in conjunction with the compactly supported approximation functions and polynomial reproducibility yields ...
Jiun-Shyan Chen +2 more
doaj
Special Issue “Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications”
Mathematical and Computational Applications, 2020 Authors of the present Special Issue are gratefully acknowledged for writing papers of very high standard [...]
Nicholas Fantuzzi
doaj +1 more source
Forces in Mechanics, 2021 We present a novel formulation based on an immersed coupling of Isogeometric Analysis (IGA) and Peridynamics (PD) for the simulation of fluid-structure interaction (FSI) phenomena for air blast.
Masoud Behzadinasab +4 more
doaj +1 more source