On the Convergence of the Mesh-Free Discretization of a Non-Linear Bond-Based Peridynamic Model with a Bond-Breakage Criterion QJ1G1HBC6C

URI	`m2://res/QJ1G1HBC6C`
Kind	preprint
Creators	Lukas Pflug, Michael Stingl, Max Zetzmann
Date	2026-10-09
MSC	65-XX
Subjects	arxiv math.NA, arxiv cs.NA
Scope	in

Expressions

e1: version, preprint

Language	en
Date	2026-10-09
Ids	arXiv 2610.13355, zbl_id 903205901

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
24VYBW5WM2	definition	definition 4.1	arxiv
Convergence of the Semi-Discrete Solutions	statement	theorem 3.21	arxiv
Well-Posedness of the Semi-Discrete Problem	statement	proposition 3.8	arxiv
Well-Posedness of the Continuous Equations	statement	theorem 2.4	arxiv
Continuity of the Continuous Solution	statement	proposition 5.5	arxiv
Lipschitz Continuity of the Discrete Non-Local Operator	statement	proposition 3.6	arxiv
Error Bound on the Discrete Weighting Function	statement	lemma 3.15	arxiv
Uniform Bound of Semi-Translated Kernel Integral	statement	lemma 5.3	arxiv
Uniform Bounds on Discrete Integrals with Partial Area Weights	statement	lemma A.1	arxiv
Convergence of the Fully Discrete Scheme with Boundary Conditions	statement	corollary 7.7	arxiv
Convergence of the Semi-Discrete Systems with Homogeneous Dirichlet Boundary Conditions	statement	corollary 7.5	arxiv
Convergence of the Integrity Function	statement	corollary 4.8	arxiv
Lipschitz Bounds for the Dirichlet Force	statement	proposition 7.1	arxiv
Uniform A-Priori Bounds for the Semi-Discrete Solutions	statement	lemma 4.4	arxiv
Transport Lemma	statement	lemma 3.19	arxiv
Stability Inequality with the Dirichlet Term	statement	lemma 7.6	arxiv
Shell Bounds for the Kernel	statement	lemma 3.13	arxiv
Auxiliary Bounds	statement	lemma 3.11	arxiv
Piecewise Constant Embedding and Projection Operators	definition	definition 3.2	arxiv
Bound on the Discretization Error	statement	proposition 3.17	arxiv
Convergence of the Discretization of the Dirichlet Force	statement	proposition 7.3	arxiv
Stability Inequality	statement	lemma 4.2	arxiv
Error Bound on the Discrete Weighting Function with Partial Area Weights	statement	lemma A.3	arxiv
Constituents of the Discrete Equation	definition	definition 3.1	arxiv
Definitions for the Continuous Equations	definition	definition 2.1	arxiv
Well-posedness of the Pointwise Equations	statement	lemma 5.1	arxiv
Convergence of the Fully Discrete System	statement	theorem 4.6	arxiv
Uniform Bounds on Discrete Integrals	statement	lemma 3.4	arxiv

Catalogue records

arxiv: 2610.13355 (work)
arxiv_text: 2610.13355 (work)
zbmath_search: 903205901 (work)