Abstract:We present a novel energy-based numerical analysis of semilinear diffusion-reaction boundary value problems. Based on a suitable variational setting, the proposed computational scheme can be seen as an energy minimisation approach. More specifically, this procedure aims to generate a sequence of numerical approximations, which results from the iterative solution of related (stabilised) linearised discrete problems, and tends to a local minimum of the underlying energy functional. Simultaneously, the finite-dim… Show more
“…Hence, A fits into the abstract setting of Section 2. Furthermore, following [AHW22], we note that the energy for the semilinear model problem (55) of Section 3 is given by…”
Section: Assumptions On Diffusion Coefficient the Diffusion Coefficientmentioning
“…Hence, A fits into the abstract setting of Section 2. Furthermore, following [AHW22], we note that the energy for the semilinear model problem (55) of Section 3 is given by…”
Section: Assumptions On Diffusion Coefficient the Diffusion Coefficientmentioning
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