Results 51 to 60 of about 733 (176)

Exasim: Generating discontinuous Galerkin codes for numerical solutions of partial differential equations on graphics processors

SoftwareX, 2022
This paper presents an overview of the functionalities and applications of Exasim, an open-source code for generating high-order discontinuous Galerkin codes to numerically solve parametrized partial differential equations (PDEs).
Jordi Vila-Pérez, R. Loek Van Heyningen, Ngoc-Cuong Nguyen, Jaume Peraire   +3 more
doaj   +1 more source

A Matrix‐Free, Scalable, and Robust Implicit Material Point Method

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT An implicit material point method is presented using a new dynamic relaxation solver, allowing for a simple and efficient quasi‐static formulation that may be readily implemented in existing explicit‐dynamic codes. The use of dynamic relaxation and aggregation is shown to produce an extremely robust material point method scheme, with good ...
Sam J. V. Sutcliffe, William M. Coombs, Wangcheng Zhang, Ravindra Duddu, Giuliano Pretti, Charles E. Augarde   +5 more
wiley   +1 more source

Método GMRES(m) pré-condicionado com a estrutura de dados CSR

Cadernos Cajuína
Tem-se que os métodos iterativos são mais eficientes que os métodos diretos na resolução de sistemas lineares e esparsos. Saad e Schultz (1986) propuseram o método GMRES reinicializado que é alvo de muitas pesquisas.
Leonardo Hilário da Silva, Ricardo Silveira Sousa, Thiago Jordem Pereira, Wagner Rambaldi Telles   +3 more
doaj   +1 more source

Comparison of different iterative schemes for ISPH based on Rankine source solution

International Journal of Naval Architecture and Ocean Engineering, 2017
Smoothed Particle Hydrodynamics (SPH) method has a good adaptability for the simulation of free surface flow problems. There are two forms of SPH. One is weak compressible SPH and the other one is incompressible SPH (ISPH).
Xing Zheng, Qing-wei Ma, Wen-yang Duan
doaj   +1 more source

On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations. The present test problems are two-dimensional, parabolic, non-linear, diffusion- reaction equations. An implicit finite difference
Juncu Gh., Popa C., Sarbu Gh.
doaj   +1 more source

Surface and Boundary Corrections in Peridynamics Using Optimized Nodal Influence Weights

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT Peridynamics (PD), similarly to some other nonlocal continuum theories, exhibits truncated interaction horizons near free surfaces, cracks, and voids in bounded domains. This loss of neighbors causes artificial surface effects and inconsistencies in the derivative and energy operators that persist under discretization refinement, limiting PD ...
Arman Shojaei, Greta Ongaro, Alexander Hermann, Stewart A. Silling, Patrizia Trovalusci, Christian J. Cyron   +5 more
wiley   +1 more source

The Upper Bound for GMRES on Normal Tridiagonal Toeplitz Linear System

Journal of Mathematical Extension, 2015
The Generalized Minimal Residual method (GMRES) is often used to solve a large and sparse system Ax = b. This paper establishes error bound for residuals of GMRES on solving an N × N normal tridiagonal Toeplitz linear system.
R. Doostaki∗, A. Hadian, S. Azizi
doaj  

Artery‐on‐Chip Demonstrates Mechanical and Functional Features of Healthy and Diseased Living Smooth Muscle Tissue

Advanced Functional Materials, Volume 36, Issue 59, 23 July 2026.
This article details the development of an artery‐on‐chip platform for in vitro arterial disease modeling and therapeutic discovery. It describes the fabrication of a fibrin biomaterial scaffold seeded with iPSC‐derived smooth muscle and endothelial cells, mimicking native artery properties. Two genetic disease models showcase the platform's ability to
Danielle Yarbrough, Roy Chen, Katerina Katsouleas, Jaron Shoemaker, Travis Brady, Tianfang Yu, Jennifer Arthur Ataam, Connor Amelung, Lakshmi Santhanam, Ioannis Karakikes, Sharon Gerecht   +10 more
wiley   +1 more source

Solid Mechanics Segregated Solver Acceleration With Jacobian‐Free Newton‐Krylov

International Journal for Numerical Methods in Engineering, Volume 127, Issue 11, 15 June 2026.
ABSTRACT The segregated algorithm is a common approach for finite volumes solvers in solid mechanics, providing a memory‐efficient and straightforward implementation. Due to the inter‐coupling of the components through the source terms, it suffers from a slow convergence behavior in specific scenarios, such as geometries with significantly uneven ...
Andry Monlon, Alessandro Scolaro, Philip Cardiff, Ivor Clifford, Oskari Pakari, Mathieu Hursin   +5 more
wiley   +1 more source

Convergence Acceleration Techniques for Steady Flow Simulations Using High-Order Finite Volume on Unstructured Grid

气体物理
Although high-order unstructured grid finite volume methods based on variational reconstruction offer advantages like high accuracy and computational efficiency, their iterative convergence robustness and speed significantly lag behind second-order ...
Hanyu ZHOU, Yuxin REN
doaj   +1 more source