, Biofilm appears everywhere in human life

.. .. Monod's-relation,

, An illustration of computational domain ?

, 17 2.2 Some special cases of cut and not-cut triangles

.. .. T-h,

. .. , Interface cuts triangle at positions which close to its vertex, p.27

, Considered edges for ghost penalty terms

A. .. Example-of-v-?-h-in-1d,

. .. Hansbo, 30 2.10 1D example of basis proposed by Reusken, vol.9

, 33 2.12 The convergence in L 2 , |||·||| H norms of the solution in Barrau's test case using NXFEM method

, Exact solution and numerical solution in the Sinha's test case with a fine mesh

. .. Matlab-pde-toolbox,

, An idea of doubling nodes around the interface

, Three group of triangles are classified

, Three types of a cut triangle

A. .. , The idea of assembling the global stiffness matrix, vol.46

, The idea of assembling the right hand side F

, 78 5.2 Vortex test case: Direction of velocity u at different time, p.84

. .. , Vortex test case: Computed interface at different time, p.85

, Vortex test case: Interface's position before and after the process in the case: without SUPG and without FMM

, Vortex test case: Interface's position before and after the process in the case: with SUPG and without FMM, vol.87

, Vortex test case: Interface's position before and after the process in the case of using FMM in 2 ways: limited and unlimited number of uses, p.88

. .. , An idea of coupling NXFEM with Level Set Method, p.90

, The interface and the value of ? at different time steps (days) when we use low values of? u ,? v

, The interface and the value of level set function ? at different time steps (days) when we use high values of? u ,? v

. .. , The interface and the value of the level set function ? at different time steps (days) when we test a regular of speed of growth, p.44

. .. ?-g-k, Determing a triple vector i, j, v for term a, p.48

. .. ?-p-k, Determing a triple vector i, j, v for term a, p.49

, Determing couple vector i, f for term L K on not-cut triangles, p.50

, Determing couple vector i, f for term L K on cut triangles, p.52

. .. , Determine the ghost penalty edges (getGPEdges), p.53

, Determine the triple vectors i, j, v which are corresponding to the ghost penalty terms

, Get the level set function ? at each time step

. Coupling and . .. Set-method, , p.91

, 2 Newton method for finding solution u h

.. .. Solving,

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. .. Estimate, 24, 65 intersection point

.. .. Cogan,

N. .. Hansbo's-original,

. .. Nitsche, , p.16

. .. Picioreanu, 6 system of semilinear, vol.56, p.91

.. .. ,

. .. Monod-kinetic, , vol.11, p.28