{
  "id": "2304.13376",
  "version": "v1",
  "published": "2023-04-26T08:34:01.000Z",
  "updated": "2023-04-26T08:34:01.000Z",
  "title": "Mixed finite element methods for nonlinear reaction-diffusion equations with interfaces",
  "authors": [
    "Jeonghun J. Lee",
    "Xinran Jin"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "We develop mixed finite element methods for nonlinear reaction-diffusion equations with interfaces which have Robin-type interface conditions. We introduce the velocity of chemicals as new variables and reformulate the governing equations. The stability of semidiscrete solutions, existence and the a priori error estimates of fully discrete solutions are proved by fixed point theorem and continuous/discrete Gr${\\\"o}$nwall inequalities. Numerical results illustrating our theoretical analysis are included.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-26T08:34:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N15",
      "65N30"
    ],
    "keywords": [
      "mixed finite element methods",
      "nonlinear reaction-diffusion equations",
      "robin-type interface conditions",
      "priori error estimates",
      "nwall inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}