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Computer modeling: A gateway to novel advancements in solving real-life problems JOURNAL ARTICLE published September 2024 in Biomedical Signal Processing and Control |
A posteriori error estimates of the weak Galerkin finite element methods for parabolic problems JOURNAL ARTICLE published August 2024 in Journal of Computational and Applied Mathematics Research funded by National Natural Science Foundation of China (11501473) | Fundamental Research Funds for the Central Universities (2682016CX108) |
A priori error estimates of VSBDF2 schemes for solving parabolic distributed optimal control problems JOURNAL ARTICLE published August 2024 in Communications in Nonlinear Science and Numerical Simulation Research funded by Shandong Province Natural Science Foundation (ZR2023MA086) | National Natural Science Foundation of China (11871312,12131014) |
Machine learning for preconditioning elliptic equations in porous microstructures: A path to error control JOURNAL ARTICLE published July 2024 in Computer Methods in Applied Mechanics and Engineering Research funded by National Science Foundation (CMMI-2145222) |
Besov regularity for a class of elliptic obstacle problems with double-phase Orlicz growth JOURNAL ARTICLE published July 2024 in Journal of Mathematical Analysis and Applications Research funded by National Natural Science Foundation of China (12071021) |
Mesh-Dependent $$L^2$$-Like Norm a Posteriori Error Estimates for Elliptic Problems with Non-essential Boundary Conditions JOURNAL ARTICLE published July 2024 in Journal of Scientific Computing Research funded by Hellenic Foundation for Research and Innovation (3270,6532,3270) | Engineering and Physical Sciences Research Council (EP/W005840/1) | Leverhulme Trust (RPG-2021-238) |
An Optimal Control Problem Related to a Parabolic–Elliptic Chemo-repulsion System in 2D Domains JOURNAL ARTICLE published June 2024 in Applied Mathematics & Optimization |
Numerical analysis of optimal control problems governed by fourth‐order linear elliptic equations using the Hessian discretization method JOURNAL ARTICLE published 17 May 2024 in Optimal Control Applications and Methods |
Regularity results for solutions to elliptic obstacle problems in limit cases JOURNAL ARTICLE published July 2024 in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas |
Optimal Domains for Elliptic Eigenvalue Problems with Rough Coefficients JOURNAL ARTICLE published 30 June 2024 in SIAM Journal on Mathematical Analysis Research funded by National Science Foundation (DMS-2213407) | Simons Foundation (855061) |
A Novel Mixed Spectral Method and Error Estimates for Maxwell Transmission Eigenvalue Problems JOURNAL ARTICLE published 30 June 2024 in SIAM Journal on Numerical Analysis Research funded by National Natural Science Foundation of China (12061023,12271049,12131005) |
Error estimates of characteristic finite elements for bilinear convection–diffusion optimal control problems JOURNAL ARTICLE published May 2024 in Results in Applied Mathematics Research funded by Hunan Provincial Natural Science Foundation (2020JJ4323) | Scientific Research Foundation of Hunan Provincial Education Department (20A211) |
An α-robust error analysis of the JOURNAL ARTICLE published May 2024 in Computers & Mathematics with Applications |
Generalized Poisson Formula for Second Order Elliptic Systems JOURNAL ARTICLE published May 2024 in Journal of Mathematical Sciences |
459. Reducing Errors in Clinical Trials: The Importance of Acknowledging Human Error and Improving Quality Control JOURNAL ARTICLE published May 2024 in Biological Psychiatry |
Modified JOURNAL ARTICLE published May 2024 in Mathematics and Computers in Simulation |
A warm-start FE-dABCD algorithm for elliptic optimal control problems with constraints on the control and the gradient of the state JOURNAL ARTICLE published May 2024 in Computers & Mathematics with Applications |
Lax-Oleinik-Type Formulas and Efficient Algorithms for Certain High-Dimensional Optimal Control Problems JOURNAL ARTICLE published 29 April 2024 in Communications on Applied Mathematics and Computation Research funded by Air Force Office of Scientific Research (AFOSR MURI FA9550-20-1-0358) | U.S. Department of Energy (DOE-MMICS SEA-CROGS DE-SC0023191) | U.S. Department of Defense (SMART Scholarship) |
Hermite kernel surrogates for the value function of high-dimensional nonlinear optimal control problems JOURNAL ARTICLE published June 2024 in Advances in Computational Mathematics Research funded by Deutsche Forschungsgemeinschaft (EXC2075 - 390740016,GRK 2198) |
Multigoal-oriented a posteriori error control for heated material processing using a generalized Boussinesq model JOURNAL ARTICLE published 26 April 2024 in Comptes Rendus. Mécanique |