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A higher order numerical method for singularly perturbed elliptic problems with characteristic boundary layers JOURNAL ARTICLE published July 2024 in Applied Numerical Mathematics |
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Removing Splitting/Modeling Error in Projection/Penalty Methods for Navier-Stokes Simulations with Continuous Data Assimilation JOURNAL ARTICLE published June 2024 in Communications in Mathematical Research |
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Balanced norm estimates for rp-finite element methods applied to singularly perturbed fourth order boundary value problems JOURNAL ARTICLE published June 2024 in Computers & Mathematics with Applications |
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Interior estimates for the virtual element method JOURNAL ARTICLE published 9 May 2024 in Numerische Mathematik |
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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) |
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Graded mesh modified backward finite difference method for two parameters singularly perturbed second-order boundary value problems JOURNAL ARTICLE published May 2024 in Results in Applied Mathematics |
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Numerical solution of singularly perturbed singular third order boundary value problems with nonclassical sinc method JOURNAL ARTICLE published May 2024 in Results in Applied Mathematics |
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Modified JOURNAL ARTICLE published May 2024 in Mathematics and Computers in Simulation |
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Error estimation for non-linear singularly perturbed reaction–diffusion parabolic problems via element-free Galerkin method JOURNAL ARTICLE published June 2024 in Reaction Kinetics, Mechanisms and Catalysis |
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Optimal error estimates of penalty difference finite element method for the 3D steady Navier-Stokes equations JOURNAL ARTICLE published 23 April 2024 in Numerical Algorithms Research funded by the National Science Foundation of China (12071406,12271465) | Foundation of National Key Laboratory of Computational Physics (6142A05230203) | National Science Foundation of Xinjiang Province (2022TSYCTD0019) |
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Energy-Dependent, Self-Adaptive Mesh h ( p )-Refinement of an Interior-Penalty Scheme for a Discontinuous Galerkin Isogeometric Analysis Spatial Discretization of the Multi-Group Neutron Diffusion Equation with Dual-Weighted Residual Error Measures JOURNAL ARTICLE published 14 April 2024 in Journal of Computational and Theoretical Transport Research funded by Engineering and Physical Sciences Research Council (EP/N509486/1) |
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Layer adapted finite element method for two-parameter singularly perturbed delay parabolic problems JOURNAL ARTICLE published 31 December 2024 in Research in Mathematics |
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A Posteriori Error Control for Fourth-Order Semilinear Problems with Quadratic Nonlinearity JOURNAL ARTICLE published 30 April 2024 in SIAM Journal on Numerical Analysis Research funded by SPARC (id 235) | Science and Engineering Research Board (SPF/2020/000019) | Deutsche Forschungsgemeinschaft (CA 151/22-2) | Deutsche Forschungsgemeinschaft (390685689) |
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Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach JOURNAL ARTICLE published 30 April 2024 in SIAM Journal on Numerical Analysis Research funded by Svenska Forskningsrådet Formas (2017-03911,2018-05262,2021-04925,2022-03908) | Engineering and Physical Sciences Research Council (EP/P01576X/1,EP/T033126/1) |
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A robust weak Galerkin finite element method for two parameter singularly perturbed parabolic problems on nonuniform meshes JOURNAL ARTICLE published April 2024 in Journal of Computational Science Research funded by Science and Engineering Research Board (MTR/2021/000059) | Indian Institute of Technology Roorkee (Cell/E-5001 (92)/7746) |
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Superconvergence analysis of interior penalty discontinuous Galerkin method for a class of time-fractional diffusion problems JOURNAL ARTICLE published April 2024 in Computational and Applied Mathematics |
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Residual-based a posteriori error analysis of an ultra-weak discontinuous Galerkin method for nonlinear second-order initial-value problems JOURNAL ARTICLE published 22 March 2024 in Numerical Algorithms |
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Duality analysis of interior penalty discontinuous Galerkin methods under minimal regularity and application to the a priori and a posteriori error analysis of Helmholtz problems JOURNAL ARTICLE published 15 March 2024 in ESAIM: Mathematical Modelling and Numerical Analysis |
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A New A Posteriori Error Estimates for Optimal Control Problems Governed by Parabolic Integro-Differential Equations JOURNAL ARTICLE published March 2024 in Numerical Analysis and Applications |
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An upwind finite volume element method on a Shishkin mesh for singularly perturbed convection–diffusion problems JOURNAL ARTICLE published March 2024 in Journal of Computational and Applied Mathematics Research funded by National Natural Science Foundation of China (12071177,12101039) |
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