Zhijian Yang
Results
Journal Article
DPK: Deep Neural Network Approximation of the First Piola-Kirchhoff Stress
Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 75–100
Journal Article
Deep Ritz Methods for Laplace Equations with Dirichlet Boundary Condition
CSIAM Transactions on Applied Mathematics, Vol. 3 (2022), Iss. 4 : pp. 761–791
Journal Article
An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy
Communications in Computational Physics, Vol. 26 (2019), Iss. 5 : pp. 1444–1470
Journal Article
Extended Synchronous Variational Integrators for Wave Propagations on Non-Uniform Meshes
Communications in Computational Physics, Vol. 28 (2020), Iss. 2 : pp. 691–722
Journal Article
A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs
Communications in Computational Physics, Vol. 31 (2022), Iss. 4 : pp. 1272–1295
Journal Article
Convergence Rate Analysis for Deep Ritz Method
Communications in Computational Physics, Vol. 31 (2022), Iss. 4 : pp. 1020–1048
Journal Article
A Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs
Communications in Computational Physics, Vol. 34 (2023), Iss. 3 : pp. 813–836
Journal Article
An Inverse Source Problem with Sparsity Constraint for the Time-Fractional Diffusion Equation
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 1 : pp. 1–18
Journal Article
Practical Absorbing Boundary Conditions for Wave Propagation on Arbitrary Domain
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 6 : pp. 1384–1415
Journal Article
The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems
Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 1 : pp. 30–48
Journal Article
Analysis of Deep Ritz Methods for Semilinear Elliptic Equations
Numerical Mathematics: Theory, Methods and Applications, Vol. 17 (2024), Iss. 1 : pp. 181–209