Wohlmuth 2000 Dual Spaces

Embed Size (px)

Citation preview

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    1/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    2/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    3/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    4/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    5/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    6/23

    lk

    lk

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    7/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    8/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    9/23

    -0.2

    0

    0.2

    0.4

    0.6

    0.8

    1

    n

    odalbasisfunctions

    mortar side

    -0.2

    0

    0.2

    0.4

    0.6

    0.8

    1

    n

    odalbasisfunctions

    non-mortar side

    -0.2

    0

    0.2

    0.4

    0.6

    0.8

    1

    n

    odalbasisfunctions

    non-mortar side

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    10/23

    0

    0.2

    0.4

    0.6

    0.8

    1

    nodalbasisfunctions

    mortar side

    0

    0.2

    0.4

    0.6

    0.8

    1

    nodalbasisfunctions

    non-mortar side

    0

    0.2

    0.4

    0.6

    0.8

    1

    nodalbasisfunctions

    non-mortar side

    klkl kl lk

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    11/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    12/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    13/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    14/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    15/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    16/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    17/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    18/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    19/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    20/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    21/23

    0.1

    1

    10

    100 1000 10000 100000

    Errorintheenergynorm

    Number of elements

    Example 1

    standardmodified

    y = 45/sqrt(x)

    0.1

    100 1000 10000 100000

    Errorintheenergynorm

    Number of elements

    Example 2

    standardmodified

    y = 0.6/x^(0.25)

    0.01

    0.1

    1

    100 1000 10000 100000

    Errorintheenergynorm

    Number of elements

    Example 3

    standardmodified

    y = 7/sqrt(x)

    0.0001

    0.001

    0.01

    0.1

    1

    100 1000 10000 100000

    ErrorintheL2norm

    Number of elements

    Example 1

    standardmodifiedy = 20/x

    1e-05

    0.0001

    0.001

    0.01

    0.1

    100 1000 10000 100000

    ErrorintheL2norm

    Number of elements

    Example 2

    standardmodified

    y = 0.2/x^(0.75)

    0.001

    0.01

    0.1

    1

    100 1000 10000 100000

    ErrorintheL2norm

    Number of elements

    Example 3

    standardmodified

    y = 150/x

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    22/23

  • 7/31/2019 Wohlmuth 2000 Dual Spaces

    23/23