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1 results

  • A LOCAL PROJECTION STABILIZATION FOR CONVECTION–DIFFUSION–REACTION EQUATIONS USING BIORTHOGONAL SYSTEMS

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  • BISHNU P. LAMICHHANE, JORDAN A. SHAW-CARMODY
  • Journal:
    The ANZIAM Journal / Volume 64 / Issue 3 / July 2022
    Published online by Cambridge University Press:
    20 February 2023, pp. 205-226
    • Article
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  • We consider a local projection stabilization based on biorthogonal systems for convection–diffusion–reaction differential equations with mixed boundary conditions. The approach based on biorthogonal systems is numerically more efficient than other existing approaches to obtain a uniform approximation for convection dominated problems. We prove optimal a priori error estimates for the proposed numerical technique. Numerical examples are presented to demonstrate the performance of the approach.