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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

Authors: Ali Raza | Muhammad Rafiq | Nauman Ahmed | Muhammad Sajid Iqbal | Shahram Rezapour | Mustafa Inc

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)

Authors: Jiajia Dai | Luoping Chen | Miao Yang

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)

Authors: Caijie Yang | Hongfei Fu | Tongjun Sun

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)

Authors: Kangan Li | Sabit Mahmood Khan | Yashar Mehmani

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)

Authors: Lijing Zhao | Shenzhou Zheng

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)

Authors: Konstantinos Chrysafinos | Emmanuil H. Georgoulis | Vassilis D. Papadopoulos

An Optimal Control Problem Related to a Parabolic–Elliptic Chemo-repulsion System in 2D Domains

JOURNAL ARTICLE published June 2024 in Applied Mathematics & Optimization

Authors: Jinxia Cen | Julio Huayta-Centeno | Exequiel Mallea-Zepeda | Shengda Zeng

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

Authors: Devika Shylaja

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

Authors: Fernando Farroni | Gianluigi Manzo

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)

Authors: Stanley Snelson | Eduardo V. Teixeira

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)

Authors: Jing An | Waixiang Cao | Zhimin Zhang

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)

Authors: Yuchun Hua | Yuelong Tang

An α-robust error analysis of the L1 scheme for time-fractional integro-differential initial-boundary value problems

JOURNAL ARTICLE published May 2024 in Computers & Mathematics with Applications

Authors: Yongtao Zhou | Hongyu Qin | Martin Stynes

Generalized Poisson Formula for Second Order Elliptic Systems

JOURNAL ARTICLE published May 2024 in Journal of Mathematical Sciences

Authors: A. P. Soldatov

459. Reducing Errors in Clinical Trials: The Importance of Acknowledging Human Error and Improving Quality Control

JOURNAL ARTICLE published May 2024 in Biological Psychiatry

Authors: Megan Mayer | Preetika Govil | Francesca Ricciardi | Jayda Melnitsky | Shannon Peleg | Joshua Kantrowitz

Modified C0 interior penalty analysis for fourth order Dirichlet boundary control problem and a posteriori error estimates

JOURNAL ARTICLE published May 2024 in Mathematics and Computers in Simulation

Authors: Sudipto Chowdhury | Divay Garg | Ravina Shokeen

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

Authors: Zixuan Chen | Xiaoliang Song | Xiaotong Chen | Bo Yu

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)

Authors: Paula Chen | Jérôme Darbon | Tingwei Meng

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)

Authors: Tobias Ehring | Bernard Haasdonk

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

Authors: Sven Beuchler | Bernhard Endtmayer | Johannes Lankeit | Thomas Wick