use javascript will be easier
<button id="buttonb" önclientclick="return getbuttonbclick()" />
function getbuttonbclick()
{
document.getelementbyid(textboxa).value=document.getelementbyid(textboxb).value
}
onrowdatabound of gridview
buttonb.attributes.add("onclick","document.getelementbyid(clientid of buttona).value=document.getelementbyid(clientid of button b).value")
inside update panel it will work fine :)