Xiaochuan Tian

University of California

United States

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Articles (14)

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2025

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2021

Collaborators (4)

Xiu Yang

Lehigh University

UNITED STATES

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Qiang Du

Fu Foundation Professor of Applied Mathematics

Columbia University

UNITED STATES

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John Foster

Associate Professor

University of Texas at Austin

UNITED STATES

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Tadele Mengesha

Professor

UNITED STATES

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Xiaochuan Tian

Research Interests

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Articles (14)

Special Issue Dedicated to Professor Qiang Du on the Occasion of His 60th Birthday

Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems

Compactness results for a Dirichlet energy of nonlocal gradient with applications

Monotone Meshfree Methods for Linear Elliptic Equations in Non-divergence Form via Nonlocal Relaxation

Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications

A meshfree peridynamic model for brittle fracture in randomly heterogeneous materials

An asymptotically compatible probabilistic collocation method for randomly heterogeneous nonlocal problems

Efficient optimization-based quadrature for variational discretization of nonlocal problems

Nonlocal trace spaces and extension results for nonlocal calculus

Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization

A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems

A Review of Local-to-Nonlocal Coupling Methods in Nonlocal Diffusion and Nonlocal Mechanics

The double adaptivity paradigm

Asymptotically Compatible Reproducing Kernel Collocation and Meshfree Integration for Nonlocal Diffusion

Collaborators (4)

Xiu Yang

Qiang Du

John Foster

Tadele Mengesha

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