☆ 4.7 Article

On the solution of hyperbolic equations using the peridynamic differential operator

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2022)

Related references

Note: Only part of the references are listed.

Article Engineering, Multidisciplinary

PeriPy - A high performance OpenCL peridynamics package

B. Boys et al.

Summary: This paper introduces a lightweight, open-source, and high-performance Python package for solving Peridynamics problems in solid mechanics. The solver aims to provide fast analysis tools for a large number of simulations required for 'outer-loop' applications. Significant improvements in execution speed and functionality are demonstrated compared to existing techniques.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)

Add to Collection

Article Computer Science, Interdisciplinary Applications

Peridynamics enabled learning partial differential equations

Ali C. Bekar et al.

Summary: This study introduces an approach to identify significant terms in PDEs based on measured data using linear regression model, PDDO, and sparse linear regression learning algorithm. The solution is achieved through Douglas-Rachford algorithm with regularization, demonstrating effectiveness in handling challenging nonlinear PDEs.

JOURNAL OF COMPUTATIONAL PHYSICS (2021)

Add to Collection

Article Mathematics, Applied

Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications

Hwi Lee et al.

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2020)

Add to Collection

Article Mathematics, Applied

ASYMPTOTICALLY COMPATIBLE SPH-LIKE PARTICLE DISCRETIZATIONS OF ONE DIMENSIONAL LINEAR ADVECTION MODELS

Hwi Lee et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2019)

Add to Collection

Article Mechanics

Peridynamic unit cell homogenization for thermoelastic properties of heterogenous microstructures with defects

E. Madenci et al.

COMPOSITE STRUCTURES (2018)

Add to Collection

Article Mathematics, Applied

Numerical solution of linear and nonlinear partial differential equations using the peridynamic differential operator

Erdogan Madenci et al.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2017)

Add to Collection

Article Engineering, Multidisciplinary

Peridynamic differential operator and its applications

Erdogan Madenci et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2016)

Add to Collection

Article Mathematics, Applied

A TWO-STAGE FOURTH ORDER TIME-ACCURATE DISCRETIZATION FOR LAX WENDROFF TYPE FLOW SOLVERS I. HYPERBOLIC CONSERVATION LAWS

Jiequan Li et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2016)

Add to Collection

Article Engineering, Multidisciplinary

Nonlocal convection-diffusion problems and finite element approximations

Hao Tian et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2015)

Add to Collection

Article Computer Science, Interdisciplinary Applications

A bounded upwinding scheme for computing convection-dominated transport problems

V. G. Ferreira et al.

COMPUTERS & FLUIDS (2012)

Add to Collection

Article Mathematics, Applied

A NEW APPROACH FOR A NONLOCAL, NONLINEAR CONSERVATION LAW

Qiang Du et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2012)

Add to Collection

Article Engineering, Multidisciplinary

Convergence, adaptive refinement, and scaling in 1D peridynamics

Florin Bobaru et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2009)

Add to Collection

Article Computer Science, Interdisciplinary Applications

Fast sweeping method for the factored eikonal equation

Sergey Fomel et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2009)

Add to Collection

Article Materials Science, Multidisciplinary

Reformulation of elasticity theory for discontinuities and long-range forces

SA Silling

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2000)

Add to Collection

© Peeref 2019-2024. All rights reserved.