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PRIMAL HYBRID FINITE ELEMENT METHOD FOR PARABOLIC PROBLEMS WITH GRADIENT TYPE NON-LINEARITY 认领 引用
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作者 Ravina SHOKEEN Ajit PATEL Divay GARG 《Acta Mathematica Scientia》 SCIE CSCD 2026年第2期1011-1035,共25页
This article develops the primal hybrid finite element method with Lagrange multipliers to approximate nonlinear parabolic initial-boundary value problems with gradient type non-linearity.A modified elliptic projectio... This article develops the primal hybrid finite element method with Lagrange multipliers to approximate nonlinear parabolic initial-boundary value problems with gradient type non-linearity.A modified elliptic projection is used to produce optimal order error estimates for the semi-discrete and backward Euler-based complete discrete schemes.In addition,error estimates in L∞-norm are established which are optimal in nature.Superconvergence result of the gradient in L∞-norm is discussed for the error between the primal hybrid solution and elliptic projection.As a bi-product,the proposed analysis provides optimal error analysis for non-conforming CR-elements.Finally,numerical tests are performed to validate the theoretical findings. 展开更多
关键词 primal hybrid method(PHM) modified elliptic projection strongly non-linear parabolic problem semi-discrete method Lagrange multiplier complete discrete method numerical results
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